![\"\"](\"https:\/\/www.educational-lounge.com\/wp-content\/uploads\/2021\/01\/puzzle-3223941_1920-300x182.jpg\")
<\/p>\n
\u6570\u5b66\u306b\u304a\u3051\u308b\u201c\u88cf\u6280\u201d \u3068\u306f, \u77ac\u9593\u7684\u306b, \u305d\u3057\u3066\u7c21\u5358\u306b\u7b54\u3048\u304c\u51fa\u305b\u308b\u3088\u3046\u306a\u624b\u6cd5\u3092\u6307\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u611f\u3058\u307e\u3059\u3002<\/p>\n
\u3064\u307e\u308a, \u88cf\u6280\u3068\u3044\u3046\u3088\u308a, \u201c\u9ad8\u6821\u6570\u5b66\u3067\u306f\u4e00\u822c\u7684\u3067\u306f\u306a\u3044\u6570\u5b66\u306e\u5b9a\u7406\u3084\u516c\u5f0f\u201d \u3068\u3044\u3046\u306e\u304c\u6b63\u78ba\u306a\u306e\u3067\u306f\u306a\u3044\u3067\u3057\u3087\u3046\u304b\u3002
\n\u305f\u3060, \u3053\u306e\u8a18\u4e8b\u5185\u3067\u306f, \u201c\u88cf\u6280\u201d \u3068\u547c\u3076\u3053\u3068\u306b\u3057\u307e\u3059\u3002<\/p>\n
\u300c\u88cf\u6280\u300d\u306f\u7b54\u3048\u3060\u3051\u6c42\u3081\u308b\u5834\u5408\u3084\u691c\u7b97\u306e\u3068\u304d\u306b\u6d3b\u7528\u3059\u308b<\/strong><\/h3>\n\u3053\u306e\u201c\u88cf\u6280\u201d\u304c\u4f7f\u3048\u308b\u72b6\u6cc1\u306f, \u7b54\u3048\u3060\u3051\u3092\u6c42\u3081\u308b\u5834\u5408\u3084\u691c\u7b97\u306e\u3068\u304d\u3068\u8003\u3048\u3066\u304a\u304f\u306e\u304c\u7121\u96e3\u3067\u3059\u3002<\/p>\n
\n\n\u4e0a\u3067\u8ff0\u3079\u305f\u3088\u3046\u306b,\u201c\u88cf\u6280\u201d \u306f\u5b9f\u969b\u306b\u306f\u5b9a\u7406\u3084\u516c\u5f0f\u3067\u3042\u308b\u3053\u3068\u304c\u591a\u3044\u305f\u3081, \u9069\u7528\u3067\u304d\u308b\u304b\u3069\u3046\u304b\u306e\u78ba\u8a8d\u3084\u8a18\u8ff0\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u3002
\n\u305d\u308c\u3092\u7406\u89e3\u305b\u305a\u306b\u4f7f\u3046\u306e\u306f\u3068\u3066\u3082\u5371\u967a\u3067, \u5834\u5408\u306b\u3088\u3063\u3066\u306f\u6e1b\u70b9, \u3042\u308b\u3044\u306f0\u70b9\u306b\u306a\u308b\u3053\u3068\u3082\u3042\u308b\u3068\u601d\u3044\u307e\u3059\u3002<\/div>\n<\/div>\n<\/div>\n\u6570\u5b66\u2162\u306e\u201c\u88cf\u6280\u201d\u3092\u8a18\u8ff0\u8a66\u9a13\u3067\u4f7f\u3046\u306e\u306f\u304a\u52e7\u3081\u3057\u307e\u305b\u3093\u3002<\/p>\n
\n\n\u305d\u3082\u305d\u3082\u8a18\u8ff0\u8a66\u9a13\u3067, \u201c\u88cf\u6280\u201d \u3092\u4f7f\u3063\u3066\u30d1\u30c3\u3068\u7b54\u3048\u304c\u51fa\u305b\u308b\u3088\u3046\u306a\u554f\u984c\u304c\u51fa\u984c\u3055\u308c\u308b\u3068\u306f\u601d\u3044\u307e\u305b\u3093\u3002
\n\u5165\u8a66\u3067\u554f\u3044\u305f\u3044\u306e\u306f\u77e5\u8b58\u3067\u306f\u306a\u304f, \u601d\u8003\u529b\u3084\u8868\u73fe\u529b\u3067\u3059\u304b\u3089\u3002<\/div>\n<\/div>\n<\/div>\n\u3068\u306f\u3044\u3048, \u7b54\u3048\u304c\u7c21\u5358\u306b\u51fa\u305b\u308b\u306e\u3067\u3042\u308c\u3070, \u3053\u308c\u306f\u5927\u5909\u4fbf\u5229\u3067\u52b9\u7387\u304c\u3044\u3044\u3067\u3059\u3002
\n\u5165\u8a66\u554f\u984c\u3067\u3082, \u7b54\u3048\u306e\u307f\u3057\u304b\u805e\u304b\u308c\u306a\u3044\u554f\u984c\u3082\u5b58\u5728\u3057\u307e\u3059\u304b\u3089\u306d\u3002<\/p>\n
\u3068\u3044\u3046\u3053\u3068\u3067, \u3053\u3053\u304b\u3089\u5148\u306f\u3044\u304f\u3064\u304b\u306e\u201c\u88cf\u6280\u201d \u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n
\u6570\u5b66\u2162\u306e\u88cf\u6280\u2460\uff1a\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406<\/strong><\/h2>\n![\"\"]()
<\/p>\n
\u9ad8\u6821\u6570\u5b66\u306e\u4e2d\u3067\u306f\u6709\u540d\u306a\u201c\u88cf\u6280\u201d \u306a\u306e\u3067\u306f\u306a\u3044\u3067\u3057\u3087\u3046\u304b\u3002
\n\u6975\u9650\u5024\u3092\u6c42\u3081\u308b\u3068\u304d\u306b\u4f7f\u3044\u307e\u3059\u3002<\/p>\n
\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u306b\u306f\u3044\u308d\u3044\u308d\u306a\u5f62\u304c\u3042\u308a\u307e\u3059\u304c, \u4eca\u56de\u306f\u305d\u306e\u3046\u3061\u306e1 \u3064\u3092\u63b2\u8f09\u3057\u307e\u3059\u3002<\/p>\n
\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406<\/strong><\/div>\n$$\\lim_{x \\to a}f(x)=0, \\lim_{x \\to a}g(x)=0, g'(x)\\neq0$$
\n\u306e\u3068\u304d,$\\displaystyle \\lim_{x \\to a}\\dfrac{f'(x)}{g'(x)}$\u304c\u5b58\u5728\u3059\u308c\u3070,$$\\lim_{x \\to a}\\dfrac{f(x)}{g(x)}=\\lim_{x \\to a}\\dfrac{f'(x)}{g'(x)}$$<\/div>\n <\/p>\n
\u6975\u9650\u304c$\\dfrac{0}{0}$\u306e\u4e0d\u5b9a\u5f62\u306e\u3068\u304d\u306f, \u5206\u6bcd\u3068\u5206\u5b50\u3092\u305d\u308c\u305e\u308c\u5fae\u5206\u3057\u305f\u95a2\u6570\u306e\u6975\u9650\u3092\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n
\u4f8b\u984c\uff09\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u3092\u6d3b\u7528\u3059\u308b<\/h3>\n
\u5b9f\u969b\u306b\u6975\u9650$$\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}$$\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n
\u307e\u305a,$\\displaystyle\\lim_{x \\to 0}(x-\\sin x)=0, \\lim_{x \\to 0}x^3=0$\u3067\u3059\u3002\u305d\u3057\u3066,$$\\begin{eqnarray*}(x-\\sin x)' &=& 1-\\cos x\\\\ (x^3)' &=& 3x^2 \\end{eqnarray*}$$\u3067\u3042\u308a,$$\\begin{eqnarray*}\\lim_{x \\to 0}\\dfrac{1-\\cos x}{3x^2} &=& \\lim_{x \\to 0}\\dfrac{1}{3} \\cdot \\dfrac{1-\\cos x}{x^2}\\\\&=& \\dfrac{1}{3} \\cdot \\dfrac{1}{2}\\\\&=& \\dfrac{1}{6} \\end{eqnarray*}$$\u3068\u306a\u308b\u304b\u3089,$$\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}=\\dfrac{1}{6}$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u3061\u306a\u307f\u306b2022\u5e74\u5ea6\u795e\u6238\u5927\u5b66\u306e\u5165\u8a66\u554f\u984c\u306e\u4e2d\u3067, $\\displaystyle\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}=\\dfrac{1}{6}$\u3067\u3042\u308b\u3053\u3068\u306f, \u8a8d\u3081\u3066\u3088\u3044\u3068\u660e\u8a18\u3055\u308c\u3066\u3044\u307e\u3057\u305f\u3002<\/p>\n
\u6570\u5b66\u2162\u306e\u88cf\u6280\u2461\uff1a\u30c6\u30a4\u30e9\u30fc\u5c55\u958b\u3068\u6975\u9650<\/strong><\/h2>\n\u6b21\u306b, \u3042\u308b\u95a2\u6570\u3092$x=a$\u306e\u8fd1\u304f\u3067\u591a\u9805\u5f0f\u3068\u307f\u306a\u3059\u5b9a\u7406\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002
\n\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u3068\u540c\u69d8\u306b, \u6975\u9650\u5024\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306b\u6709\u52b9\u3067\u3059\u3002<\/p>\n
\u30c6\u30a4\u30e9\u30fc\u306e\u5b9a\u7406<\/strong><\/div>\n$x\\neq a$\u3068\u3057, $f(x)$\u304c\u533a\u9593$[a, x]$\uff08\u307e\u305f\u306f$[x, a]$\uff09\u3067$n$\u56de\u5fae\u5206\u53ef\u80fd\u3068\u3059\u308b\u3068, \u3042\u308b$c \\in (a,x)$(\u307e\u305f\u306f$(x, a)$) \u304c\u5b58\u5728\u3057\u3066,$$\\begin{eqnarray*}f(x)=f(a)+f'(a)(x-a) &+& \\dfrac{f''(a)}{2!}(x-a)^2+\\cdots \\cdots \\\\ &+& \\dfrac{f^{(n-1)} (a)}{(n-1)!}(x-a)^{n-1}+\\dfrac{f^{(n)} (c)}{n!}(x-a)^n \\end{eqnarray*}$$\u304c\u6210\u308a\u7acb\u3064\u3002<\/div>\n <\/p>\n
\u3055\u3089\u306b, \u533a\u9593\u5185\u306e\u5404\u70b9$x$\u3067$n \\to \\infty$\u306e\u3068\u304d,$\\dfrac{f^{(n)} (c)}{n!}(x-a)^n \\to 0$\u3068\u306a\u308c\u3070,$$f(x)=f(a)+f'(a)(x-a)+\\dfrac{f''(a)}{2!}(x-a)^2+ \\cdots \\cdots =\\sum_{n=0}^{ \\infty}\\frac{f^{(n)} (a)}{n!}(x-a)^n$$\u3068\u8868\u305b\u307e\u3059\u3002<\/p>\n
\u3053\u306e\u3088\u3046\u306b\u95a2\u6570$f(x)$\u3092\u7d1a\u6570\u306e\u5f62\u3067\u8868\u3059\u3053\u3068\u3092\u30c6\u30fc\u30e9\u30fc\u5c55\u958b\u3059\u308b\u3068\u3044\u3044\u307e\u3059\u3002
\n\u7279\u306b$a=0$\u306e\u3068\u304d,$$f(x)=f(0)+f'(0)x+\\dfrac{f''(0)}{2!}x^2 + \\cdots \\cdots$$\u3068\u306a\u308a, \u3053\u308c\u3092\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n
\u7279\u306b\u91cd\u8981\u306a\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b<\/h3>\n
\u3053\u3053\u3067, \u7279\u306b\u91cd\u8981\u306a\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3092\u7d39\u4ecb\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n
\n\n\n\n\n- $e^x =1+x+\\dfrac{x^2}{2!}+\\dfrac{x^3}{3!}+ \\cdots \\cdots$<\/li>\n
- $\\sin x=x-\\dfrac{x^3}{3!}+\\dfrac{x^5}{5!}- \\cdots \\cdots$<\/li>\n
- $\\cos x=1-\\dfrac{x^2}{2!}+\\dfrac{x^4}{4!}- \\cdots \\cdots$<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
\u3055\u3066, \u3053\u308c\u3092\u5229\u7528\u3057\u3066\u5148\u307b\u3069\u306e\u6975\u9650$\\displaystyle\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}=\\dfrac{1}{6}$\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002
\n\u5206\u6bcd\u304c$x^3$\u3067\u3042\u308b\u3053\u3068\u304b\u3089, \u5206\u5b50\u306e$4$\u6b21\u4ee5\u964d\u306e\u9805\u306f$\\displaystyle\\lim_{x \\to 0}\\dfrac{x^4}{x^3}=0$\u306e\u3088\u3046\u306b$0$\u306b\u53ce\u675f\u3057\u307e\u3059\u3002<\/p>\n
\u3088\u3063\u3066, \u5206\u5b50\u306e\u6b21\u6570\u306f$3$\u6b21\u307e\u3067\u3092\u8003\u3048\u308c\u3070\u3088\u3044\u304b\u3089,$$\\begin{eqnarray*}\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3} &=& \\lim_{x \\to 0}\\dfrac{x-(x-\\dfrac{x^3}{3!}+ \\cdots \\cdots)}{x^3}\\\\ &=& \\lim_{x \\to 0}\\dfrac{\\dfrac{x^3}{3!}- \\cdots \\cdots}{x^3} \\\\ &=& \\lim_{x \\to 0}(\\dfrac{1}{3!}- \\cdots \\cdots)\\qquad \\qquad\uff08\\cdots \\cdots\u306f0\u306b\u53ce\u675f\u3059\u308b\uff09\\\\&=& \\dfrac{1}{6} \\end{eqnarray*}$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u307e\u305f, \u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3092\u80cc\u666f\u306b\u3082\u3064\u5165\u8a66\u554f\u984c\u306f, \u4e0d\u7b49\u5f0f\u306e\u8a3c\u660e\u306a\u3069\u3067\u983b\u51fa\u30c6\u30fc\u30de\u3067\u3059\u3002<\/p>\n
\u6570\u5b66\u2162\u306e\u300c\u88cf\u6280\u300d\u2462\uff1a\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406<\/strong><\/h2>\n\u6975\u9650\u306e\u8a71\u304b\u3089\u6253\u3063\u3066\u5909\u308f\u3063\u3066\u56de\u8ee2\u4f53\u306e\u4f53\u7a4d\u306b\u95a2\u3059\u308b\u5b9a\u7406\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n
\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406<\/strong><\/div>\n\u9762\u7a4d\u304c$S$\u3067\u3042\u308b\u56f3\u5f62$D$\u3092, \u305d\u308c\u3068\u4ea4\u308f\u3089\u306a\u3044\u76f4\u7dda$l$\u306e\u5468\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u7acb\u4f53\u306e\u4f53\u7a4d$V$\u306f, \u56f3\u5f62$D$\u306e\u91cd\u5fc3$G$\u3068\u76f4\u7dda$l$\u307e\u3067\u306e\u8ddd\u96e2$L$\u3092\u7528\u3044\u3066,$$V=2\\pi LS$$\u3068\u8868\u305b\u308b\u3002
\n![\"\"]()
\n(\u91cd\u5fc3$G$\u304c$1$\u56de\u8ee2\u3059\u308b\u3068\u304d\u306b\u52d5\u3044\u305f\u9577\u3055)$\u00d7$(\u56f3\u5f62\u306e\u9762\u7a4d) \u3067\u4f53\u7a4d\u304c\u6c42\u307e\u308a\u307e\u3059\u3002<\/div>\n <\/p>\n
\u5186\u3084\u6955\u5186\u306f\u4e2d\u5fc3\u304c\u91cd\u5fc3\u306b\u306a\u308b\u304b\u3089, \u3053\u306e\u5b9a\u7406\u304c\u4f7f\u3044\u3084\u3059\u3044\u3067\u3059\u3002
\n\u307e\u305f,\u4e00\u822c\u7684\u306a\u56f3\u5f62\u306e\u91cd\u5fc3\u306f\u7a4d\u5206\u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u306e\u3067, \u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u306e\u306f\u9762\u5012\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406\u2015\u2015\u30c8\u30fc\u30e9\u30b9\u3067\u306e\u6d3b\u7528<\/h3>\n
\u5b9f\u969b\u306b, \u5186\u3092\u56de\u8ee2\u3055\u305b\u3066\u51fa\u6765\u308b\u30c9\u30fc\u30ca\u30c4\u578b\u306e\u7acb\u4f53\u306e\u4f53\u7a4d\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002
\n![\"\"]()
\n\u3053\u306e\u56f3\u5f62\u306f\u30c8\u30fc\u30e9\u30b9\u3068\u547c\u3070\u308c\u307e\u3059\u3002
\n\u3053\u306e\u56f3\u5f62\u306e\u4f53\u7a4d\u306f,$xy$\u5e73\u9762\u306b\u304a\u3044\u3066, \u70b9$(0, 3)$\u3092\u4e2d\u5fc3\u3068\u3057, \u534a\u5f84\u304c$1$\u306e\u5186\u3092$x$\u8ef8\u306e\u5468\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u56f3\u5f62\u306e\u4f53\u7a4d\u3068\u7b49\u3057\u3044\u3067\u3059\u3002
\n![\"\"]()
\n\u5186\u306e\u9762\u7a4d\u306f$1^2 \\pi=\\pi$\u3067$y$\u8ef8\u3068\u5186\u306e\u91cd\u5fc3(\u4e2d\u5fc3) \u3068\u306e\u8ddd\u96e2\u306f$3$\u3067\u3042\u308b\u304b\u3089,\u6c42\u3081\u308b\u4f53\u7a4d\u306f,$$2\\pi \\cdot 3 \\cdot \\pi =6\\pi^2$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u5b9f\u969b, \u7b54\u3048\u306e\u307f\u3092\u805e\u304b\u308c\u308b\u554f\u984c\u3067, \u6955\u5186\u3092$y$\u8ef8\u306e\u307e\u308f\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u7acb\u4f53\u306e\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u554f\u984c\u304c2018\u5e74\u5ea6\u306e\u65e9\u7a32\u7530\u5927\u5b66\u4eba\u9593\u79d1\u5b66\u90e8\u306b\u51fa\u984c\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n
\u304a\u308f\u308a\u306b<\/strong><\/h2>\n![\"\"]()
<\/p>\n
\u4eca\u56de\u306f\u6570\u5b66\u2162\u306e\u88cf\u6280\u306b\u3064\u3044\u3066\u304a\u8a71\u3057\u307e\u3057\u305f\u3002<\/p>\n
\u306f\u3058\u3081\u306b\u3082\u304a\u4f1d\u3048\u3057\u305f\u901a\u308a,\u3053\u308c\u3089\u306e\u201c\u88cf\u6280\u201d \u306f\u7b54\u3048\u306e\u307f\u5fc5\u8981\u306a\u5834\u5408\u3084\u691c\u7b97\u306b\u5229\u7528\u3059\u308b\u306e\u304c\u3088\u3044\u3067\u3059\u3002
\n\u8a18\u8ff0\u8a66\u9a13\u3067\u306f\u4f7f\u308f\u306a\u3044\u65b9\u304c\u7121\u96e3\u3067\u3059\u3002<\/p>\n
\n\n\u65e5\u9803\u304b\u3089\u3053\u308c\u3089\u306b\u983c\u3063\u305f\u52c9\u5f37\u306f\u5b9f\u8df5\u7684\u3067\u306f\u306a\u3044\u306e\u3067, \u6b63\u653b\u6cd5\u306a\u7b54\u6848\u3092\u4f5c\u308a, \u305d\u306e\u3042\u3068\u3067\u4f7f\u3048\u308b\u3068\u304d\u306b\u201c\u88cf\u6280\u201d \u3082\u3084\u3063\u3066\u307f\u308b\u306e\u306f\u6709\u52b9\u3067\u3057\u3087\u3046\u3002
\n\u9593\u9055\u3063\u3066\u3082\u201c\u88cf\u6280\u201d \u306e\u307f\u3067\u7b54\u3048\u3092\u51fa\u3059\u3060\u3051\u306e\u52c9\u5f37\u306f\u3084\u3081\u307e\u3057\u3087\u3046\u3002<\/div>\n<\/div>\n<\/div>\n\u8a18\u8ff0\u7b54\u6848\u306e\u91cd\u8981\u6027\u3068\u305d\u306e\u5b66\u7fd2\u6cd5\u3092 \u300c\u6570\u5b66\u2162\u306e\u8a18\u8ff0\u7b54\u6848\u3092\u66f8\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u305f\u3044\u4eba\u304c\u53d6\u308a\u7d44\u3080\u3079\u304d\u5b66\u7fd2\u6cd5\u300d<\/a>\u306e\u8a18\u4e8b\u3067\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002
\n
\n\u305d\u308c\u3092\u7406\u89e3\u305b\u305a\u306b\u4f7f\u3046\u306e\u306f\u3068\u3066\u3082\u5371\u967a\u3067, \u5834\u5408\u306b\u3088\u3063\u3066\u306f\u6e1b\u70b9, \u3042\u308b\u3044\u306f0\u70b9\u306b\u306a\u308b\u3053\u3068\u3082\u3042\u308b\u3068\u601d\u3044\u307e\u3059\u3002<\/div>\n<\/div>\n<\/div>\n
\u6570\u5b66\u2162\u306e\u201c\u88cf\u6280\u201d\u3092\u8a18\u8ff0\u8a66\u9a13\u3067\u4f7f\u3046\u306e\u306f\u304a\u52e7\u3081\u3057\u307e\u305b\u3093\u3002<\/p>\n
\n\u5165\u8a66\u3067\u554f\u3044\u305f\u3044\u306e\u306f\u77e5\u8b58\u3067\u306f\u306a\u304f, \u601d\u8003\u529b\u3084\u8868\u73fe\u529b\u3067\u3059\u304b\u3089\u3002<\/div>\n<\/div>\n<\/div>\n
\u3068\u306f\u3044\u3048, \u7b54\u3048\u304c\u7c21\u5358\u306b\u51fa\u305b\u308b\u306e\u3067\u3042\u308c\u3070, \u3053\u308c\u306f\u5927\u5909\u4fbf\u5229\u3067\u52b9\u7387\u304c\u3044\u3044\u3067\u3059\u3002
\n\u5165\u8a66\u554f\u984c\u3067\u3082, \u7b54\u3048\u306e\u307f\u3057\u304b\u805e\u304b\u308c\u306a\u3044\u554f\u984c\u3082\u5b58\u5728\u3057\u307e\u3059\u304b\u3089\u306d\u3002<\/p>\n
\u3068\u3044\u3046\u3053\u3068\u3067, \u3053\u3053\u304b\u3089\u5148\u306f\u3044\u304f\u3064\u304b\u306e\u201c\u88cf\u6280\u201d \u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n
\u6570\u5b66\u2162\u306e\u88cf\u6280\u2460\uff1a\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406<\/strong><\/h2>\n![\"\"]()
<\/p>\n
\u9ad8\u6821\u6570\u5b66\u306e\u4e2d\u3067\u306f\u6709\u540d\u306a\u201c\u88cf\u6280\u201d \u306a\u306e\u3067\u306f\u306a\u3044\u3067\u3057\u3087\u3046\u304b\u3002
\n\u6975\u9650\u5024\u3092\u6c42\u3081\u308b\u3068\u304d\u306b\u4f7f\u3044\u307e\u3059\u3002<\/p>\n
\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u306b\u306f\u3044\u308d\u3044\u308d\u306a\u5f62\u304c\u3042\u308a\u307e\u3059\u304c, \u4eca\u56de\u306f\u305d\u306e\u3046\u3061\u306e1 \u3064\u3092\u63b2\u8f09\u3057\u307e\u3059\u3002<\/p>\n
\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406<\/strong><\/div>\n$$\\lim_{x \\to a}f(x)=0, \\lim_{x \\to a}g(x)=0, g'(x)\\neq0$$
\n\u306e\u3068\u304d,$\\displaystyle \\lim_{x \\to a}\\dfrac{f'(x)}{g'(x)}$\u304c\u5b58\u5728\u3059\u308c\u3070,$$\\lim_{x \\to a}\\dfrac{f(x)}{g(x)}=\\lim_{x \\to a}\\dfrac{f'(x)}{g'(x)}$$<\/div>\n <\/p>\n
\u6975\u9650\u304c$\\dfrac{0}{0}$\u306e\u4e0d\u5b9a\u5f62\u306e\u3068\u304d\u306f, \u5206\u6bcd\u3068\u5206\u5b50\u3092\u305d\u308c\u305e\u308c\u5fae\u5206\u3057\u305f\u95a2\u6570\u306e\u6975\u9650\u3092\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n
\u4f8b\u984c\uff09\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u3092\u6d3b\u7528\u3059\u308b<\/h3>\n
\u5b9f\u969b\u306b\u6975\u9650$$\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}$$\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n
\u307e\u305a,$\\displaystyle\\lim_{x \\to 0}(x-\\sin x)=0, \\lim_{x \\to 0}x^3=0$\u3067\u3059\u3002\u305d\u3057\u3066,$$\\begin{eqnarray*}(x-\\sin x)' &=& 1-\\cos x\\\\ (x^3)' &=& 3x^2 \\end{eqnarray*}$$\u3067\u3042\u308a,$$\\begin{eqnarray*}\\lim_{x \\to 0}\\dfrac{1-\\cos x}{3x^2} &=& \\lim_{x \\to 0}\\dfrac{1}{3} \\cdot \\dfrac{1-\\cos x}{x^2}\\\\&=& \\dfrac{1}{3} \\cdot \\dfrac{1}{2}\\\\&=& \\dfrac{1}{6} \\end{eqnarray*}$$\u3068\u306a\u308b\u304b\u3089,$$\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}=\\dfrac{1}{6}$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u3061\u306a\u307f\u306b2022\u5e74\u5ea6\u795e\u6238\u5927\u5b66\u306e\u5165\u8a66\u554f\u984c\u306e\u4e2d\u3067, $\\displaystyle\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}=\\dfrac{1}{6}$\u3067\u3042\u308b\u3053\u3068\u306f, \u8a8d\u3081\u3066\u3088\u3044\u3068\u660e\u8a18\u3055\u308c\u3066\u3044\u307e\u3057\u305f\u3002<\/p>\n
\u6570\u5b66\u2162\u306e\u88cf\u6280\u2461\uff1a\u30c6\u30a4\u30e9\u30fc\u5c55\u958b\u3068\u6975\u9650<\/strong><\/h2>\n\u6b21\u306b, \u3042\u308b\u95a2\u6570\u3092$x=a$\u306e\u8fd1\u304f\u3067\u591a\u9805\u5f0f\u3068\u307f\u306a\u3059\u5b9a\u7406\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002
\n\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u3068\u540c\u69d8\u306b, \u6975\u9650\u5024\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306b\u6709\u52b9\u3067\u3059\u3002<\/p>\n
\u30c6\u30a4\u30e9\u30fc\u306e\u5b9a\u7406<\/strong><\/div>\n$x\\neq a$\u3068\u3057, $f(x)$\u304c\u533a\u9593$[a, x]$\uff08\u307e\u305f\u306f$[x, a]$\uff09\u3067$n$\u56de\u5fae\u5206\u53ef\u80fd\u3068\u3059\u308b\u3068, \u3042\u308b$c \\in (a,x)$(\u307e\u305f\u306f$(x, a)$) \u304c\u5b58\u5728\u3057\u3066,$$\\begin{eqnarray*}f(x)=f(a)+f'(a)(x-a) &+& \\dfrac{f''(a)}{2!}(x-a)^2+\\cdots \\cdots \\\\ &+& \\dfrac{f^{(n-1)} (a)}{(n-1)!}(x-a)^{n-1}+\\dfrac{f^{(n)} (c)}{n!}(x-a)^n \\end{eqnarray*}$$\u304c\u6210\u308a\u7acb\u3064\u3002<\/div>\n <\/p>\n
\u3055\u3089\u306b, \u533a\u9593\u5185\u306e\u5404\u70b9$x$\u3067$n \\to \\infty$\u306e\u3068\u304d,$\\dfrac{f^{(n)} (c)}{n!}(x-a)^n \\to 0$\u3068\u306a\u308c\u3070,$$f(x)=f(a)+f'(a)(x-a)+\\dfrac{f''(a)}{2!}(x-a)^2+ \\cdots \\cdots =\\sum_{n=0}^{ \\infty}\\frac{f^{(n)} (a)}{n!}(x-a)^n$$\u3068\u8868\u305b\u307e\u3059\u3002<\/p>\n
\u3053\u306e\u3088\u3046\u306b\u95a2\u6570$f(x)$\u3092\u7d1a\u6570\u306e\u5f62\u3067\u8868\u3059\u3053\u3068\u3092\u30c6\u30fc\u30e9\u30fc\u5c55\u958b\u3059\u308b\u3068\u3044\u3044\u307e\u3059\u3002
\n\u7279\u306b$a=0$\u306e\u3068\u304d,$$f(x)=f(0)+f'(0)x+\\dfrac{f''(0)}{2!}x^2 + \\cdots \\cdots$$\u3068\u306a\u308a, \u3053\u308c\u3092\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n
\u7279\u306b\u91cd\u8981\u306a\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b<\/h3>\n
\u3053\u3053\u3067, \u7279\u306b\u91cd\u8981\u306a\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3092\u7d39\u4ecb\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n
\n\n\n\n\n- $e^x =1+x+\\dfrac{x^2}{2!}+\\dfrac{x^3}{3!}+ \\cdots \\cdots$<\/li>\n
- $\\sin x=x-\\dfrac{x^3}{3!}+\\dfrac{x^5}{5!}- \\cdots \\cdots$<\/li>\n
- $\\cos x=1-\\dfrac{x^2}{2!}+\\dfrac{x^4}{4!}- \\cdots \\cdots$<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
\u3055\u3066, \u3053\u308c\u3092\u5229\u7528\u3057\u3066\u5148\u307b\u3069\u306e\u6975\u9650$\\displaystyle\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}=\\dfrac{1}{6}$\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002
\n\u5206\u6bcd\u304c$x^3$\u3067\u3042\u308b\u3053\u3068\u304b\u3089, \u5206\u5b50\u306e$4$\u6b21\u4ee5\u964d\u306e\u9805\u306f$\\displaystyle\\lim_{x \\to 0}\\dfrac{x^4}{x^3}=0$\u306e\u3088\u3046\u306b$0$\u306b\u53ce\u675f\u3057\u307e\u3059\u3002<\/p>\n
\u3088\u3063\u3066, \u5206\u5b50\u306e\u6b21\u6570\u306f$3$\u6b21\u307e\u3067\u3092\u8003\u3048\u308c\u3070\u3088\u3044\u304b\u3089,$$\\begin{eqnarray*}\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3} &=& \\lim_{x \\to 0}\\dfrac{x-(x-\\dfrac{x^3}{3!}+ \\cdots \\cdots)}{x^3}\\\\ &=& \\lim_{x \\to 0}\\dfrac{\\dfrac{x^3}{3!}- \\cdots \\cdots}{x^3} \\\\ &=& \\lim_{x \\to 0}(\\dfrac{1}{3!}- \\cdots \\cdots)\\qquad \\qquad\uff08\\cdots \\cdots\u306f0\u306b\u53ce\u675f\u3059\u308b\uff09\\\\&=& \\dfrac{1}{6} \\end{eqnarray*}$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u307e\u305f, \u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3092\u80cc\u666f\u306b\u3082\u3064\u5165\u8a66\u554f\u984c\u306f, \u4e0d\u7b49\u5f0f\u306e\u8a3c\u660e\u306a\u3069\u3067\u983b\u51fa\u30c6\u30fc\u30de\u3067\u3059\u3002<\/p>\n
\u6570\u5b66\u2162\u306e\u300c\u88cf\u6280\u300d\u2462\uff1a\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406<\/strong><\/h2>\n\u6975\u9650\u306e\u8a71\u304b\u3089\u6253\u3063\u3066\u5909\u308f\u3063\u3066\u56de\u8ee2\u4f53\u306e\u4f53\u7a4d\u306b\u95a2\u3059\u308b\u5b9a\u7406\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n
\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406<\/strong><\/div>\n\u9762\u7a4d\u304c$S$\u3067\u3042\u308b\u56f3\u5f62$D$\u3092, \u305d\u308c\u3068\u4ea4\u308f\u3089\u306a\u3044\u76f4\u7dda$l$\u306e\u5468\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u7acb\u4f53\u306e\u4f53\u7a4d$V$\u306f, \u56f3\u5f62$D$\u306e\u91cd\u5fc3$G$\u3068\u76f4\u7dda$l$\u307e\u3067\u306e\u8ddd\u96e2$L$\u3092\u7528\u3044\u3066,$$V=2\\pi LS$$\u3068\u8868\u305b\u308b\u3002
\n![\"\"]()
\n(\u91cd\u5fc3$G$\u304c$1$\u56de\u8ee2\u3059\u308b\u3068\u304d\u306b\u52d5\u3044\u305f\u9577\u3055)$\u00d7$(\u56f3\u5f62\u306e\u9762\u7a4d) \u3067\u4f53\u7a4d\u304c\u6c42\u307e\u308a\u307e\u3059\u3002<\/div>\n <\/p>\n
\u5186\u3084\u6955\u5186\u306f\u4e2d\u5fc3\u304c\u91cd\u5fc3\u306b\u306a\u308b\u304b\u3089, \u3053\u306e\u5b9a\u7406\u304c\u4f7f\u3044\u3084\u3059\u3044\u3067\u3059\u3002
\n\u307e\u305f,\u4e00\u822c\u7684\u306a\u56f3\u5f62\u306e\u91cd\u5fc3\u306f\u7a4d\u5206\u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u306e\u3067, \u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u306e\u306f\u9762\u5012\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406\u2015\u2015\u30c8\u30fc\u30e9\u30b9\u3067\u306e\u6d3b\u7528<\/h3>\n
\u5b9f\u969b\u306b, \u5186\u3092\u56de\u8ee2\u3055\u305b\u3066\u51fa\u6765\u308b\u30c9\u30fc\u30ca\u30c4\u578b\u306e\u7acb\u4f53\u306e\u4f53\u7a4d\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002
\n![\"\"]()
\n\u3053\u306e\u56f3\u5f62\u306f\u30c8\u30fc\u30e9\u30b9\u3068\u547c\u3070\u308c\u307e\u3059\u3002
\n\u3053\u306e\u56f3\u5f62\u306e\u4f53\u7a4d\u306f,$xy$\u5e73\u9762\u306b\u304a\u3044\u3066, \u70b9$(0, 3)$\u3092\u4e2d\u5fc3\u3068\u3057, \u534a\u5f84\u304c$1$\u306e\u5186\u3092$x$\u8ef8\u306e\u5468\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u56f3\u5f62\u306e\u4f53\u7a4d\u3068\u7b49\u3057\u3044\u3067\u3059\u3002
\n![\"\"]()
\n\u5186\u306e\u9762\u7a4d\u306f$1^2 \\pi=\\pi$\u3067$y$\u8ef8\u3068\u5186\u306e\u91cd\u5fc3(\u4e2d\u5fc3) \u3068\u306e\u8ddd\u96e2\u306f$3$\u3067\u3042\u308b\u304b\u3089,\u6c42\u3081\u308b\u4f53\u7a4d\u306f,$$2\\pi \\cdot 3 \\cdot \\pi =6\\pi^2$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u5b9f\u969b, \u7b54\u3048\u306e\u307f\u3092\u805e\u304b\u308c\u308b\u554f\u984c\u3067, \u6955\u5186\u3092$y$\u8ef8\u306e\u307e\u308f\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u7acb\u4f53\u306e\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u554f\u984c\u304c2018\u5e74\u5ea6\u306e\u65e9\u7a32\u7530\u5927\u5b66\u4eba\u9593\u79d1\u5b66\u90e8\u306b\u51fa\u984c\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n
\u304a\u308f\u308a\u306b<\/strong><\/h2>\n![\"\"]()
<\/p>\n
\u4eca\u56de\u306f\u6570\u5b66\u2162\u306e\u88cf\u6280\u306b\u3064\u3044\u3066\u304a\u8a71\u3057\u307e\u3057\u305f\u3002<\/p>\n
\u306f\u3058\u3081\u306b\u3082\u304a\u4f1d\u3048\u3057\u305f\u901a\u308a,\u3053\u308c\u3089\u306e\u201c\u88cf\u6280\u201d \u306f\u7b54\u3048\u306e\u307f\u5fc5\u8981\u306a\u5834\u5408\u3084\u691c\u7b97\u306b\u5229\u7528\u3059\u308b\u306e\u304c\u3088\u3044\u3067\u3059\u3002
\n\u8a18\u8ff0\u8a66\u9a13\u3067\u306f\u4f7f\u308f\u306a\u3044\u65b9\u304c\u7121\u96e3\u3067\u3059\u3002<\/p>\n
\n\n\u65e5\u9803\u304b\u3089\u3053\u308c\u3089\u306b\u983c\u3063\u305f\u52c9\u5f37\u306f\u5b9f\u8df5\u7684\u3067\u306f\u306a\u3044\u306e\u3067, \u6b63\u653b\u6cd5\u306a\u7b54\u6848\u3092\u4f5c\u308a, \u305d\u306e\u3042\u3068\u3067\u4f7f\u3048\u308b\u3068\u304d\u306b\u201c\u88cf\u6280\u201d \u3082\u3084\u3063\u3066\u307f\u308b\u306e\u306f\u6709\u52b9\u3067\u3057\u3087\u3046\u3002
\n\u9593\u9055\u3063\u3066\u3082\u201c\u88cf\u6280\u201d \u306e\u307f\u3067\u7b54\u3048\u3092\u51fa\u3059\u3060\u3051\u306e\u52c9\u5f37\u306f\u3084\u3081\u307e\u3057\u3087\u3046\u3002<\/div>\n<\/div>\n<\/div>\n\u8a18\u8ff0\u7b54\u6848\u306e\u91cd\u8981\u6027\u3068\u305d\u306e\u5b66\u7fd2\u6cd5\u3092 \u300c\u6570\u5b66\u2162\u306e\u8a18\u8ff0\u7b54\u6848\u3092\u66f8\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u305f\u3044\u4eba\u304c\u53d6\u308a\u7d44\u3080\u3079\u304d\u5b66\u7fd2\u6cd5\u300d<\/a>\u306e\u8a18\u4e8b\u3067\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002
\n
![\"\"](\"https:\/\/www.educational-lounge.com\/wp-content\/uploads\/2020\/11\/notes-2208049_1920-300x200.jpg\")
<\/p>\n\n\u6975\u9650\u5024\u3092\u6c42\u3081\u308b\u3068\u304d\u306b\u4f7f\u3044\u307e\u3059\u3002<\/p>\n
\n\u306e\u3068\u304d,$\\displaystyle \\lim_{x \\to a}\\dfrac{f'(x)}{g'(x)}$\u304c\u5b58\u5728\u3059\u308c\u3070,$$\\lim_{x \\to a}\\dfrac{f(x)}{g(x)}=\\lim_{x \\to a}\\dfrac{f'(x)}{g'(x)}$$<\/div>\n
<\/p>\n
\u6975\u9650\u304c$\\dfrac{0}{0}$\u306e\u4e0d\u5b9a\u5f62\u306e\u3068\u304d\u306f, \u5206\u6bcd\u3068\u5206\u5b50\u3092\u305d\u308c\u305e\u308c\u5fae\u5206\u3057\u305f\u95a2\u6570\u306e\u6975\u9650\u3092\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n
\u4f8b\u984c\uff09\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u3092\u6d3b\u7528\u3059\u308b<\/h3>\n
\u5b9f\u969b\u306b\u6975\u9650$$\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}$$\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n
\u307e\u305a,$\\displaystyle\\lim_{x \\to 0}(x-\\sin x)=0, \\lim_{x \\to 0}x^3=0$\u3067\u3059\u3002\u305d\u3057\u3066,$$\\begin{eqnarray*}(x-\\sin x)' &=& 1-\\cos x\\\\ (x^3)' &=& 3x^2 \\end{eqnarray*}$$\u3067\u3042\u308a,$$\\begin{eqnarray*}\\lim_{x \\to 0}\\dfrac{1-\\cos x}{3x^2} &=& \\lim_{x \\to 0}\\dfrac{1}{3} \\cdot \\dfrac{1-\\cos x}{x^2}\\\\&=& \\dfrac{1}{3} \\cdot \\dfrac{1}{2}\\\\&=& \\dfrac{1}{6} \\end{eqnarray*}$$\u3068\u306a\u308b\u304b\u3089,$$\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}=\\dfrac{1}{6}$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u3061\u306a\u307f\u306b2022\u5e74\u5ea6\u795e\u6238\u5927\u5b66\u306e\u5165\u8a66\u554f\u984c\u306e\u4e2d\u3067, $\\displaystyle\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}=\\dfrac{1}{6}$\u3067\u3042\u308b\u3053\u3068\u306f, \u8a8d\u3081\u3066\u3088\u3044\u3068\u660e\u8a18\u3055\u308c\u3066\u3044\u307e\u3057\u305f\u3002<\/p>\n
\u6570\u5b66\u2162\u306e\u88cf\u6280\u2461\uff1a\u30c6\u30a4\u30e9\u30fc\u5c55\u958b\u3068\u6975\u9650<\/strong><\/h2>\n\u6b21\u306b, \u3042\u308b\u95a2\u6570\u3092$x=a$\u306e\u8fd1\u304f\u3067\u591a\u9805\u5f0f\u3068\u307f\u306a\u3059\u5b9a\u7406\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002
\n\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u3068\u540c\u69d8\u306b, \u6975\u9650\u5024\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306b\u6709\u52b9\u3067\u3059\u3002<\/p>\n
\u30c6\u30a4\u30e9\u30fc\u306e\u5b9a\u7406<\/strong><\/div>\n$x\\neq a$\u3068\u3057, $f(x)$\u304c\u533a\u9593$[a, x]$\uff08\u307e\u305f\u306f$[x, a]$\uff09\u3067$n$\u56de\u5fae\u5206\u53ef\u80fd\u3068\u3059\u308b\u3068, \u3042\u308b$c \\in (a,x)$(\u307e\u305f\u306f$(x, a)$) \u304c\u5b58\u5728\u3057\u3066,$$\\begin{eqnarray*}f(x)=f(a)+f'(a)(x-a) &+& \\dfrac{f''(a)}{2!}(x-a)^2+\\cdots \\cdots \\\\ &+& \\dfrac{f^{(n-1)} (a)}{(n-1)!}(x-a)^{n-1}+\\dfrac{f^{(n)} (c)}{n!}(x-a)^n \\end{eqnarray*}$$\u304c\u6210\u308a\u7acb\u3064\u3002<\/div>\n <\/p>\n
\u3055\u3089\u306b, \u533a\u9593\u5185\u306e\u5404\u70b9$x$\u3067$n \\to \\infty$\u306e\u3068\u304d,$\\dfrac{f^{(n)} (c)}{n!}(x-a)^n \\to 0$\u3068\u306a\u308c\u3070,$$f(x)=f(a)+f'(a)(x-a)+\\dfrac{f''(a)}{2!}(x-a)^2+ \\cdots \\cdots =\\sum_{n=0}^{ \\infty}\\frac{f^{(n)} (a)}{n!}(x-a)^n$$\u3068\u8868\u305b\u307e\u3059\u3002<\/p>\n
\u3053\u306e\u3088\u3046\u306b\u95a2\u6570$f(x)$\u3092\u7d1a\u6570\u306e\u5f62\u3067\u8868\u3059\u3053\u3068\u3092\u30c6\u30fc\u30e9\u30fc\u5c55\u958b\u3059\u308b\u3068\u3044\u3044\u307e\u3059\u3002
\n\u7279\u306b$a=0$\u306e\u3068\u304d,$$f(x)=f(0)+f'(0)x+\\dfrac{f''(0)}{2!}x^2 + \\cdots \\cdots$$\u3068\u306a\u308a, \u3053\u308c\u3092\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n
\u7279\u306b\u91cd\u8981\u306a\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b<\/h3>\n
\u3053\u3053\u3067, \u7279\u306b\u91cd\u8981\u306a\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3092\u7d39\u4ecb\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n
\n\n\n\n\n- $e^x =1+x+\\dfrac{x^2}{2!}+\\dfrac{x^3}{3!}+ \\cdots \\cdots$<\/li>\n
- $\\sin x=x-\\dfrac{x^3}{3!}+\\dfrac{x^5}{5!}- \\cdots \\cdots$<\/li>\n
- $\\cos x=1-\\dfrac{x^2}{2!}+\\dfrac{x^4}{4!}- \\cdots \\cdots$<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
\u3055\u3066, \u3053\u308c\u3092\u5229\u7528\u3057\u3066\u5148\u307b\u3069\u306e\u6975\u9650$\\displaystyle\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}=\\dfrac{1}{6}$\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002
\n\u5206\u6bcd\u304c$x^3$\u3067\u3042\u308b\u3053\u3068\u304b\u3089, \u5206\u5b50\u306e$4$\u6b21\u4ee5\u964d\u306e\u9805\u306f$\\displaystyle\\lim_{x \\to 0}\\dfrac{x^4}{x^3}=0$\u306e\u3088\u3046\u306b$0$\u306b\u53ce\u675f\u3057\u307e\u3059\u3002<\/p>\n
\u3088\u3063\u3066, \u5206\u5b50\u306e\u6b21\u6570\u306f$3$\u6b21\u307e\u3067\u3092\u8003\u3048\u308c\u3070\u3088\u3044\u304b\u3089,$$\\begin{eqnarray*}\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3} &=& \\lim_{x \\to 0}\\dfrac{x-(x-\\dfrac{x^3}{3!}+ \\cdots \\cdots)}{x^3}\\\\ &=& \\lim_{x \\to 0}\\dfrac{\\dfrac{x^3}{3!}- \\cdots \\cdots}{x^3} \\\\ &=& \\lim_{x \\to 0}(\\dfrac{1}{3!}- \\cdots \\cdots)\\qquad \\qquad\uff08\\cdots \\cdots\u306f0\u306b\u53ce\u675f\u3059\u308b\uff09\\\\&=& \\dfrac{1}{6} \\end{eqnarray*}$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u307e\u305f, \u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3092\u80cc\u666f\u306b\u3082\u3064\u5165\u8a66\u554f\u984c\u306f, \u4e0d\u7b49\u5f0f\u306e\u8a3c\u660e\u306a\u3069\u3067\u983b\u51fa\u30c6\u30fc\u30de\u3067\u3059\u3002<\/p>\n
\u6570\u5b66\u2162\u306e\u300c\u88cf\u6280\u300d\u2462\uff1a\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406<\/strong><\/h2>\n\u6975\u9650\u306e\u8a71\u304b\u3089\u6253\u3063\u3066\u5909\u308f\u3063\u3066\u56de\u8ee2\u4f53\u306e\u4f53\u7a4d\u306b\u95a2\u3059\u308b\u5b9a\u7406\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n
\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406<\/strong><\/div>\n\u9762\u7a4d\u304c$S$\u3067\u3042\u308b\u56f3\u5f62$D$\u3092, \u305d\u308c\u3068\u4ea4\u308f\u3089\u306a\u3044\u76f4\u7dda$l$\u306e\u5468\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u7acb\u4f53\u306e\u4f53\u7a4d$V$\u306f, \u56f3\u5f62$D$\u306e\u91cd\u5fc3$G$\u3068\u76f4\u7dda$l$\u307e\u3067\u306e\u8ddd\u96e2$L$\u3092\u7528\u3044\u3066,$$V=2\\pi LS$$\u3068\u8868\u305b\u308b\u3002
\n![\"\"]()
\n(\u91cd\u5fc3$G$\u304c$1$\u56de\u8ee2\u3059\u308b\u3068\u304d\u306b\u52d5\u3044\u305f\u9577\u3055)$\u00d7$(\u56f3\u5f62\u306e\u9762\u7a4d) \u3067\u4f53\u7a4d\u304c\u6c42\u307e\u308a\u307e\u3059\u3002<\/div>\n <\/p>\n
\u5186\u3084\u6955\u5186\u306f\u4e2d\u5fc3\u304c\u91cd\u5fc3\u306b\u306a\u308b\u304b\u3089, \u3053\u306e\u5b9a\u7406\u304c\u4f7f\u3044\u3084\u3059\u3044\u3067\u3059\u3002
\n\u307e\u305f,\u4e00\u822c\u7684\u306a\u56f3\u5f62\u306e\u91cd\u5fc3\u306f\u7a4d\u5206\u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u306e\u3067, \u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u306e\u306f\u9762\u5012\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406\u2015\u2015\u30c8\u30fc\u30e9\u30b9\u3067\u306e\u6d3b\u7528<\/h3>\n
\u5b9f\u969b\u306b, \u5186\u3092\u56de\u8ee2\u3055\u305b\u3066\u51fa\u6765\u308b\u30c9\u30fc\u30ca\u30c4\u578b\u306e\u7acb\u4f53\u306e\u4f53\u7a4d\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002
\n![\"\"]()
\n\u3053\u306e\u56f3\u5f62\u306f\u30c8\u30fc\u30e9\u30b9\u3068\u547c\u3070\u308c\u307e\u3059\u3002
\n\u3053\u306e\u56f3\u5f62\u306e\u4f53\u7a4d\u306f,$xy$\u5e73\u9762\u306b\u304a\u3044\u3066, \u70b9$(0, 3)$\u3092\u4e2d\u5fc3\u3068\u3057, \u534a\u5f84\u304c$1$\u306e\u5186\u3092$x$\u8ef8\u306e\u5468\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u56f3\u5f62\u306e\u4f53\u7a4d\u3068\u7b49\u3057\u3044\u3067\u3059\u3002
\n![\"\"]()
\n\u5186\u306e\u9762\u7a4d\u306f$1^2 \\pi=\\pi$\u3067$y$\u8ef8\u3068\u5186\u306e\u91cd\u5fc3(\u4e2d\u5fc3) \u3068\u306e\u8ddd\u96e2\u306f$3$\u3067\u3042\u308b\u304b\u3089,\u6c42\u3081\u308b\u4f53\u7a4d\u306f,$$2\\pi \\cdot 3 \\cdot \\pi =6\\pi^2$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u5b9f\u969b, \u7b54\u3048\u306e\u307f\u3092\u805e\u304b\u308c\u308b\u554f\u984c\u3067, \u6955\u5186\u3092$y$\u8ef8\u306e\u307e\u308f\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u7acb\u4f53\u306e\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u554f\u984c\u304c2018\u5e74\u5ea6\u306e\u65e9\u7a32\u7530\u5927\u5b66\u4eba\u9593\u79d1\u5b66\u90e8\u306b\u51fa\u984c\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n
\u304a\u308f\u308a\u306b<\/strong><\/h2>\n![\"\"]()
<\/p>\n
\u4eca\u56de\u306f\u6570\u5b66\u2162\u306e\u88cf\u6280\u306b\u3064\u3044\u3066\u304a\u8a71\u3057\u307e\u3057\u305f\u3002<\/p>\n
\u306f\u3058\u3081\u306b\u3082\u304a\u4f1d\u3048\u3057\u305f\u901a\u308a,\u3053\u308c\u3089\u306e\u201c\u88cf\u6280\u201d \u306f\u7b54\u3048\u306e\u307f\u5fc5\u8981\u306a\u5834\u5408\u3084\u691c\u7b97\u306b\u5229\u7528\u3059\u308b\u306e\u304c\u3088\u3044\u3067\u3059\u3002
\n\u8a18\u8ff0\u8a66\u9a13\u3067\u306f\u4f7f\u308f\u306a\u3044\u65b9\u304c\u7121\u96e3\u3067\u3059\u3002<\/p>\n
\n\n\u65e5\u9803\u304b\u3089\u3053\u308c\u3089\u306b\u983c\u3063\u305f\u52c9\u5f37\u306f\u5b9f\u8df5\u7684\u3067\u306f\u306a\u3044\u306e\u3067, \u6b63\u653b\u6cd5\u306a\u7b54\u6848\u3092\u4f5c\u308a, \u305d\u306e\u3042\u3068\u3067\u4f7f\u3048\u308b\u3068\u304d\u306b\u201c\u88cf\u6280\u201d \u3082\u3084\u3063\u3066\u307f\u308b\u306e\u306f\u6709\u52b9\u3067\u3057\u3087\u3046\u3002
\n\u9593\u9055\u3063\u3066\u3082\u201c\u88cf\u6280\u201d \u306e\u307f\u3067\u7b54\u3048\u3092\u51fa\u3059\u3060\u3051\u306e\u52c9\u5f37\u306f\u3084\u3081\u307e\u3057\u3087\u3046\u3002<\/div>\n<\/div>\n<\/div>\n\u8a18\u8ff0\u7b54\u6848\u306e\u91cd\u8981\u6027\u3068\u305d\u306e\u5b66\u7fd2\u6cd5\u3092 \u300c\u6570\u5b66\u2162\u306e\u8a18\u8ff0\u7b54\u6848\u3092\u66f8\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u305f\u3044\u4eba\u304c\u53d6\u308a\u7d44\u3080\u3079\u304d\u5b66\u7fd2\u6cd5\u300d<\/a>\u306e\u8a18\u4e8b\u3067\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002
\n
\n\u30ed\u30d4\u30bf\u30eb\u306e\u5b9a\u7406\u3068\u540c\u69d8\u306b, \u6975\u9650\u5024\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306b\u6709\u52b9\u3067\u3059\u3002<\/p>\n
<\/p>\n
\u3055\u3089\u306b, \u533a\u9593\u5185\u306e\u5404\u70b9$x$\u3067$n \\to \\infty$\u306e\u3068\u304d,$\\dfrac{f^{(n)} (c)}{n!}(x-a)^n \\to 0$\u3068\u306a\u308c\u3070,$$f(x)=f(a)+f'(a)(x-a)+\\dfrac{f''(a)}{2!}(x-a)^2+ \\cdots \\cdots =\\sum_{n=0}^{ \\infty}\\frac{f^{(n)} (a)}{n!}(x-a)^n$$\u3068\u8868\u305b\u307e\u3059\u3002<\/p>\n
\u3053\u306e\u3088\u3046\u306b\u95a2\u6570$f(x)$\u3092\u7d1a\u6570\u306e\u5f62\u3067\u8868\u3059\u3053\u3068\u3092\u30c6\u30fc\u30e9\u30fc\u5c55\u958b\u3059\u308b\u3068\u3044\u3044\u307e\u3059\u3002
\n\u7279\u306b$a=0$\u306e\u3068\u304d,$$f(x)=f(0)+f'(0)x+\\dfrac{f''(0)}{2!}x^2 + \\cdots \\cdots$$\u3068\u306a\u308a, \u3053\u308c\u3092\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n
\u7279\u306b\u91cd\u8981\u306a\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b<\/h3>\n
\u3053\u3053\u3067, \u7279\u306b\u91cd\u8981\u306a\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3092\u7d39\u4ecb\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n
- \n
- $e^x =1+x+\\dfrac{x^2}{2!}+\\dfrac{x^3}{3!}+ \\cdots \\cdots$<\/li>\n
- $\\sin x=x-\\dfrac{x^3}{3!}+\\dfrac{x^5}{5!}- \\cdots \\cdots$<\/li>\n
- $\\cos x=1-\\dfrac{x^2}{2!}+\\dfrac{x^4}{4!}- \\cdots \\cdots$<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
\u3055\u3066, \u3053\u308c\u3092\u5229\u7528\u3057\u3066\u5148\u307b\u3069\u306e\u6975\u9650$\\displaystyle\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3}=\\dfrac{1}{6}$\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002
\n\u5206\u6bcd\u304c$x^3$\u3067\u3042\u308b\u3053\u3068\u304b\u3089, \u5206\u5b50\u306e$4$\u6b21\u4ee5\u964d\u306e\u9805\u306f$\\displaystyle\\lim_{x \\to 0}\\dfrac{x^4}{x^3}=0$\u306e\u3088\u3046\u306b$0$\u306b\u53ce\u675f\u3057\u307e\u3059\u3002<\/p>\n\u3088\u3063\u3066, \u5206\u5b50\u306e\u6b21\u6570\u306f$3$\u6b21\u307e\u3067\u3092\u8003\u3048\u308c\u3070\u3088\u3044\u304b\u3089,$$\\begin{eqnarray*}\\lim_{x \\to 0}\\dfrac{x-\\sin x}{x^3} &=& \\lim_{x \\to 0}\\dfrac{x-(x-\\dfrac{x^3}{3!}+ \\cdots \\cdots)}{x^3}\\\\ &=& \\lim_{x \\to 0}\\dfrac{\\dfrac{x^3}{3!}- \\cdots \\cdots}{x^3} \\\\ &=& \\lim_{x \\to 0}(\\dfrac{1}{3!}- \\cdots \\cdots)\\qquad \\qquad\uff08\\cdots \\cdots\u306f0\u306b\u53ce\u675f\u3059\u308b\uff09\\\\&=& \\dfrac{1}{6} \\end{eqnarray*}$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u307e\u305f, \u30de\u30af\u30ed\u30fc\u30ea\u30f3\u5c55\u958b\u3092\u80cc\u666f\u306b\u3082\u3064\u5165\u8a66\u554f\u984c\u306f, \u4e0d\u7b49\u5f0f\u306e\u8a3c\u660e\u306a\u3069\u3067\u983b\u51fa\u30c6\u30fc\u30de\u3067\u3059\u3002<\/p>\n
\u6570\u5b66\u2162\u306e\u300c\u88cf\u6280\u300d\u2462\uff1a\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406<\/strong><\/h2>\n
\u6975\u9650\u306e\u8a71\u304b\u3089\u6253\u3063\u3066\u5909\u308f\u3063\u3066\u56de\u8ee2\u4f53\u306e\u4f53\u7a4d\u306b\u95a2\u3059\u308b\u5b9a\u7406\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n
\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406<\/strong><\/div>\n\u9762\u7a4d\u304c$S$\u3067\u3042\u308b\u56f3\u5f62$D$\u3092, \u305d\u308c\u3068\u4ea4\u308f\u3089\u306a\u3044\u76f4\u7dda$l$\u306e\u5468\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u7acb\u4f53\u306e\u4f53\u7a4d$V$\u306f, \u56f3\u5f62$D$\u306e\u91cd\u5fc3$G$\u3068\u76f4\u7dda$l$\u307e\u3067\u306e\u8ddd\u96e2$L$\u3092\u7528\u3044\u3066,$$V=2\\pi LS$$\u3068\u8868\u305b\u308b\u3002
\n![\"\"]()
\n(\u91cd\u5fc3$G$\u304c$1$\u56de\u8ee2\u3059\u308b\u3068\u304d\u306b\u52d5\u3044\u305f\u9577\u3055)$\u00d7$(\u56f3\u5f62\u306e\u9762\u7a4d) \u3067\u4f53\u7a4d\u304c\u6c42\u307e\u308a\u307e\u3059\u3002<\/div>\n<\/p>\n
\u5186\u3084\u6955\u5186\u306f\u4e2d\u5fc3\u304c\u91cd\u5fc3\u306b\u306a\u308b\u304b\u3089, \u3053\u306e\u5b9a\u7406\u304c\u4f7f\u3044\u3084\u3059\u3044\u3067\u3059\u3002
\n\u307e\u305f,\u4e00\u822c\u7684\u306a\u56f3\u5f62\u306e\u91cd\u5fc3\u306f\u7a4d\u5206\u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u306e\u3067, \u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406\u3092\u4f7f\u3063\u3066\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u306e\u306f\u9762\u5012\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\u30d1\u30c3\u30d7\u30b9\u30ae\u30e5\u30eb\u30c0\u30f3\u306e\u5b9a\u7406\u2015\u2015\u30c8\u30fc\u30e9\u30b9\u3067\u306e\u6d3b\u7528<\/h3>\n
\u5b9f\u969b\u306b, \u5186\u3092\u56de\u8ee2\u3055\u305b\u3066\u51fa\u6765\u308b\u30c9\u30fc\u30ca\u30c4\u578b\u306e\u7acb\u4f53\u306e\u4f53\u7a4d\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002
\n![\"\"]()
\n\u3053\u306e\u56f3\u5f62\u306f\u30c8\u30fc\u30e9\u30b9\u3068\u547c\u3070\u308c\u307e\u3059\u3002
\n\u3053\u306e\u56f3\u5f62\u306e\u4f53\u7a4d\u306f,$xy$\u5e73\u9762\u306b\u304a\u3044\u3066, \u70b9$(0, 3)$\u3092\u4e2d\u5fc3\u3068\u3057, \u534a\u5f84\u304c$1$\u306e\u5186\u3092$x$\u8ef8\u306e\u5468\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u56f3\u5f62\u306e\u4f53\u7a4d\u3068\u7b49\u3057\u3044\u3067\u3059\u3002
\n![\"\"]()
\n\u5186\u306e\u9762\u7a4d\u306f$1^2 \\pi=\\pi$\u3067$y$\u8ef8\u3068\u5186\u306e\u91cd\u5fc3(\u4e2d\u5fc3) \u3068\u306e\u8ddd\u96e2\u306f$3$\u3067\u3042\u308b\u304b\u3089,\u6c42\u3081\u308b\u4f53\u7a4d\u306f,$$2\\pi \\cdot 3 \\cdot \\pi =6\\pi^2$$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\u5b9f\u969b, \u7b54\u3048\u306e\u307f\u3092\u805e\u304b\u308c\u308b\u554f\u984c\u3067, \u6955\u5186\u3092$y$\u8ef8\u306e\u307e\u308f\u308a\u306b$1$\u56de\u8ee2\u3055\u305b\u3066\u3067\u304d\u308b\u7acb\u4f53\u306e\u4f53\u7a4d\u3092\u6c42\u3081\u308b\u554f\u984c\u304c2018\u5e74\u5ea6\u306e\u65e9\u7a32\u7530\u5927\u5b66\u4eba\u9593\u79d1\u5b66\u90e8\u306b\u51fa\u984c\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n
\u304a\u308f\u308a\u306b<\/strong><\/h2>\n
![\"\"]()
<\/p>\n\u4eca\u56de\u306f\u6570\u5b66\u2162\u306e\u88cf\u6280\u306b\u3064\u3044\u3066\u304a\u8a71\u3057\u307e\u3057\u305f\u3002<\/p>\n
\u306f\u3058\u3081\u306b\u3082\u304a\u4f1d\u3048\u3057\u305f\u901a\u308a,\u3053\u308c\u3089\u306e\u201c\u88cf\u6280\u201d \u306f\u7b54\u3048\u306e\u307f\u5fc5\u8981\u306a\u5834\u5408\u3084\u691c\u7b97\u306b\u5229\u7528\u3059\u308b\u306e\u304c\u3088\u3044\u3067\u3059\u3002
\n\u8a18\u8ff0\u8a66\u9a13\u3067\u306f\u4f7f\u308f\u306a\u3044\u65b9\u304c\u7121\u96e3\u3067\u3059\u3002<\/p>\n\n\n\u65e5\u9803\u304b\u3089\u3053\u308c\u3089\u306b\u983c\u3063\u305f\u52c9\u5f37\u306f\u5b9f\u8df5\u7684\u3067\u306f\u306a\u3044\u306e\u3067, \u6b63\u653b\u6cd5\u306a\u7b54\u6848\u3092\u4f5c\u308a, \u305d\u306e\u3042\u3068\u3067\u4f7f\u3048\u308b\u3068\u304d\u306b\u201c\u88cf\u6280\u201d \u3082\u3084\u3063\u3066\u307f\u308b\u306e\u306f\u6709\u52b9\u3067\u3057\u3087\u3046\u3002
\n\u9593\u9055\u3063\u3066\u3082\u201c\u88cf\u6280\u201d \u306e\u307f\u3067\u7b54\u3048\u3092\u51fa\u3059\u3060\u3051\u306e\u52c9\u5f37\u306f\u3084\u3081\u307e\u3057\u3087\u3046\u3002<\/div>\n<\/div>\n<\/div>\n\u8a18\u8ff0\u7b54\u6848\u306e\u91cd\u8981\u6027\u3068\u305d\u306e\u5b66\u7fd2\u6cd5\u3092 \u300c\u6570\u5b66\u2162\u306e\u8a18\u8ff0\u7b54\u6848\u3092\u66f8\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u305f\u3044\u4eba\u304c\u53d6\u308a\u7d44\u3080\u3079\u304d\u5b66\u7fd2\u6cd5\u300d<\/a>\u306e\u8a18\u4e8b\u3067\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002
\n
![\"\"](\"https:\/\/www.educational-lounge.com\/wp-content\/uploads\/2022\/07\/fc152cea935abde5dd744e4e6c8b24b9-300x146.png\")
![\"\"](\"https:\/\/www.educational-lounge.com\/wp-content\/uploads\/2022\/07\/torus.jpg\")
![\"\"](\"https:\/\/www.educational-lounge.com\/wp-content\/uploads\/2022\/07\/4f15b559ddac25b7e3500aa23de63f1f-300x146.png\")
![\"\"](\"https:\/\/www.educational-lounge.com\/wp-content\/uploads\/2020\/11\/pexels-jeswin-thomas-3781338-300x199.jpg\")
<\/p>\n![\"\"](\"\/\/www.educational-lounge.com\/wp-content\/uploads\/2022\/02\/eyecatch_math3_2202-150x150.jpg\")
<\/figure>