{"id":34338,"date":"2024-11-18T13:00:49","date_gmt":"2024-11-18T13:00:49","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34338"},"modified":"2025-09-07T02:59:46","modified_gmt":"2025-09-07T02:59:46","slug":"%e6%a5%b5%e9%99%90%e3%81%a8%e9%80%a3%e7%b6%9a%e6%80%a7","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e6%a5%b5%e9%99%90%e3%81%a8%e9%80%a3%e7%b6%9a%e6%80%a7\/","title":{"rendered":"\u6975\u9650\u3068\u9023\u7d9a\u6027"},"content":{"rendered":"<style>\np {\ntext-align:justify;\n}\n<\/style>\n<p><center><\/p>\n<h1>\u6975\u9650\u3068\u9023\u7d9a\u6027<\/h1>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><em><strong>\u8981\u7d04:<\/strong><\/em><br \/>\n\u672c\u8b1b\u7fa9\u3067\u306f\u3001\u95a2\u6570\u306e\u6975\u9650\u3068\u9023\u7d9a\u6027\u306e\u95a2\u4fc2\u3092\u6271\u3044\u3001\u307e\u305a\u76f4\u89b3\u7684\u304a\u3088\u3073\u5f62\u5f0f\u7684\u306a\u8aac\u660e\u304b\u3089\u59cb\u3081\u307e\u3059\u3002\u3042\u308b\u70b9\u304a\u3088\u3073\u96c6\u5408\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027\u3092\u63a2\u7a76\u3057\u3001\u95a2\u6570\u304c\u9023\u7d9a\u3067\u3042\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u6761\u4ef6\u3092\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u9023\u7d9a\u95a2\u6570\u306e\u4ee3\u6570\u7684\u6027\u8cea\uff08\u548c\u3001\u7a4d\u3001\u5546\u3001\u95a2\u6570\u306e\u5408\u6210\uff09\u306b\u3064\u3044\u3066\u3082\u793a\u3055\u308c\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u3055\u307e\u3056\u307e\u306a\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u5206\u6790\u3057\u3001\u6975\u9650\u3092\u8a08\u7b97\u3057\u3066\u9023\u7d9a\u6027\u306e\u6982\u5ff5\u3068\u95a2\u9023\u4ed8\u3051\u308b\u5b9f\u8df5\u7684\u306a\u4f8b\u3092\u89e3\u304d\u307e\u3059\u3002\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19:<\/strong><br \/>\n\u672c\u8b1b\u7fa9\u7d42\u4e86\u6642\u3001\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059:<\/p>\n<ol>\n<li><strong>\u5206\u6790\u3059\u308b<\/strong> \u4e0e\u3048\u3089\u308c\u305f\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u3001\u5b9a\u7fa9\u3055\u308c\u305f\u6761\u4ef6\u3092\u691c\u8a3c\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3002<\/li>\n<li><strong>\u8a55\u4fa1\u3059\u308b<\/strong> \u95a2\u6570\u304c\u3042\u308b\u96c6\u5408\u4e0a\u3067\u9023\u7d9a\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u3001\u9023\u7d9a\u6027\u306e\u5f62\u5f0f\u7684\u5b9a\u7fa9\u3092\u7528\u3044\u3066\u3002<\/li>\n<li><strong>\u8a3c\u660e\u3059\u308b<\/strong> \u95a2\u6570\u306e\u4ee3\u6570\u7684\u6027\u8cea\u306b\u57fa\u3065\u3044\u3066\u305d\u306e\u9023\u7d9a\u6027\u3092\u3002<\/li>\n<li><strong>\u5206\u985e\u3059\u308b<\/strong> \u4e0d\u9023\u7d9a\u70b9\u3092\u3001\u6e80\u305f\u3055\u308c\u306a\u3044\u6761\u4ef6\u306b\u5fdc\u3058\u3066\u7570\u306a\u308b\u7a2e\u985e\u306b\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong><u>\u5185\u5bb9\u76ee\u6b21<\/u>:<\/strong><br \/>\n<a href=\"#1\">\u5e8f\u8ad6<\/a><br \/>\n<a href=\"#2\">\u4e00\u70b9\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027<\/a><br \/>\n<a href=\"#3\">\u96c6\u5408\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027<\/a><br \/>\n<a href=\"#4\">\u9023\u7d9a\u95a2\u6570\u306e\u6027\u8cea<\/a><br \/>\n<a href=\"#5\">\u7df4\u7fd2\u554f\u984c<\/a>\n<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/4kehfJcyPRg\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u5e8f\u8ad6<\/h2>\n<p ><a href=\"https:\/\/www.youtube.com\/watch?v=4kehfJcyPRg&amp;t=109s\" target=\"_blank\" rel=\"noopener\"><strong>\u76f4\u89b3\u7684\u306b\u8a00\u3048\u3070\u3001\u9023\u7d9a\u6027\u3068\u306f<\/strong><\/a> \u30b0\u30e9\u30d5\u3092\u300c\u925b\u7b46\u3092\u96e2\u3055\u305a\u306b\u300d\u63cf\u3051\u308b\u6027\u8cea\u3068\u3057\u3066\u7406\u89e3\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u6982\u5ff5\u306f\u305d\u308c\u81ea\u4f53\u3067\u306f\u975e\u5e38\u306b\u308f\u304b\u308a\u3084\u3059\u3044\u3082\u306e\u306e\u3001\u6570\u5b66\u7684\u63a8\u8ad6\u306e\u53b3\u5bc6\u3055\u3092\u6c42\u3081\u308b\u5834\u5408\u306b\u306f\u5341\u5206\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u4e00\u5b9a\u306e\u898f\u7bc4\u304c\u5fc5\u8981\u3068\u306a\u308a\u307e\u3059\u3002\u5f62\u5f0f\u7684\u306b\u8a00\u3048\u3070\u3001\u95a2\u6570\u306e\u9023\u7d9a\u6027\u306f\u6975\u9650\u306e\u6982\u5ff5\u3068\u5bc6\u63a5\u306b\u7d50\u3073\u3064\u3044\u3066\u304a\u308a\u3001\u3053\u3053\u3067\u306f\u305d\u308c\u3092\u8a73\u7d30\u306b\u5b66\u3073\u307e\u3059\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h3>\u4e00\u70b9\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027<\/h3>\n<p ><a href=\"https:\/\/www.youtube.com\/watch?v=4kehfJcyPRg&amp;t=152s\" target=\"_blank\" rel=\"noopener\"><strong>\u95a2\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">f(x)<\/span> \u304c\u3042\u308b\u70b9\u3067\u9023\u7d9a\u3067\u3042\u308b<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">x=x_0<\/span> \u3068\u306f\u3001\u6b21\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u5834\u5408\u306b\u9650\u308a\u307e\u3059:<\/p>\n<ul >\n<li><span class=\"katex-eq\" data-katex-display=\"false\">f(x)<\/span> \u304c <span class=\"katex-eq\" data-katex-display=\"false\">x_0<\/span> \u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u3053\u3068<\/li>\n<li>\u6975\u9650 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to x_0} f(x)<\/span> \u304c\u5b58\u5728\u3059\u308b\u3053\u3068<\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to x_0} f(x) = f(x_0)<\/span> \u3067\u3042\u308b\u3053\u3068<\/li>\n<\/ul>\n<p >\u3053\u308c\u3089\u3059\u3079\u3066\u306f\u6b21\u306e\u6570\u5f0f\u3067\u8981\u7d04\u3067\u304d\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\forall \\epsilon \\gt 0 \\right) \\left(\\exists \\delta \\gt 0 \\right) \\left(0\\lt |x-x_0|\\lt \\delta \\rightarrow |f(x) - f(x_0)|\\lt \\epsilon\\right)<\/span>\n<p >\u3053\u308c\u306f\u307e\u3055\u306b\u6570\u5b66\u7684\u306a\u6975\u9650\u306e\u5b9a\u7fa9\u3067\u3042\u308a\u3001\u5024\u300cL\u300d\u3092\u300cf(<span class=\"katex-eq\" data-katex-display=\"false\">x_0<\/span>)\u300d\u306b\u7f6e\u304d\u63db\u3048\u305f\u3082\u306e\u3067\u3059\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u96c6\u5408\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027<\/h3>\n<p ><a href=\"https:\/\/www.youtube.com\/watch?v=4kehfJcyPRg&amp;t=462s\" target=\"_blank\" rel=\"noopener\"><strong>\u9023\u7d9a\u6027\u306e\u5b9a\u7fa9<\/strong><\/a> \u306f\u3001\u7279\u5b9a\u306e\u96c6\u5408\u5185\u306e\u3059\u3079\u3066\u306e\u70b9\u306b\u5bfe\u3057\u3066\u62e1\u5f35\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<span class=\"katex-eq\" data-katex-display=\"false\">f(x)<\/span> \u304c\u96c6\u5408 <span class=\"katex-eq\" data-katex-display=\"false\">I\\subseteq Dom(f)<\/span> \u5185\u3067\u9023\u7d9a\u3067\u3042\u308b\u3068\u306f\u3001\u4efb\u610f\u306e\u70b9 <span class=\"katex-eq\" data-katex-display=\"false\">x_0\\in I<\/span> \u306b\u304a\u3044\u3066\u9023\u7d9a\u3067\u3042\u308b\u5834\u5408\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u6b21\u306e\u6570\u5f0f\u3067\u8981\u7d04\u3055\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\forall x_0 \\in I\\subseteq Dom(f) \\right)\\left(\\forall \\epsilon \\gt 0 \\right) \\left(\\exists \\delta \\gt 0 \\right) \\left(0\\lt |x-x_0|\\lt \\delta \\rightarrow |f(x) - f(x_0)|\\lt \\epsilon\\right)<\/span>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u9023\u7d9a\u95a2\u6570\u306e\u6027\u8cea<\/h3>\n<h4>\u9023\u7d9a\u95a2\u6570\u306e\u4ee3\u6570<\/h4>\n<p ><a href=\"https:\/\/www.youtube.com\/watch?v=4kehfJcyPRg&amp;t=575s\" target=\"_blank\" rel=\"noopener\"><strong><span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u3068 <span class=\"katex-eq\" data-katex-display=\"false\">g<\/span> \u304c\u9023\u7d9a\u95a2\u6570\u3067\u3042\u308b\u5834\u5408<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">I\\subseteq Dom(f)\\cap Dom(g)<\/span> \u306b\u304a\u3044\u3066\u3001\u6b21\u304c\u6210\u308a\u7acb\u3061\u307e\u3059:<\/p>\n<ul >\n<li><span class=\"katex-eq\" data-katex-display=\"false\">f\\pm g<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">I<\/span> \u3067\u9023\u7d9a\u3067\u3042\u308b<\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">f\\cdot g<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">I<\/span> \u3067\u9023\u7d9a\u3067\u3042\u308b<\/li>\n<li>\u3082\u3057 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha\\in\\mathbb{R}<\/span> \u306a\u3089\u3070\u3001<span class=\"katex-eq\" data-katex-display=\"false\">\\alpha f<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">I<\/span> \u3067\u9023\u7d9a\u3067\u3042\u308b<\/li>\n<li><span class=\"katex-eq\" data-katex-display=\"false\">f\/g<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">g\\neq 0<\/span> \u3067\u3042\u308b\u9650\u308a <span class=\"katex-eq\" data-katex-display=\"false\">I<\/span> \u3067\u9023\u7d9a\u3067\u3042\u308b<\/li>\n<li>\u3082\u3057 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha,\\beta\\in\\mathbb{R}<\/span> \u304b\u3064 <span class=\"katex-eq\" data-katex-display=\"false\">\\beta\\neq 0<\/span> \u306a\u3089\u3070\u3001<span class=\"katex-eq\" data-katex-display=\"false\">f^{\\alpha\/\\beta}<\/span> \u304c <span class=\"katex-eq\" data-katex-display=\"false\">I<\/span> \u3067\u9069\u5207\u306b\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u9650\u308a\u3001\u305d\u308c\u306f <span class=\"katex-eq\" data-katex-display=\"false\">I<\/span> \u3067\u9023\u7d9a\u3067\u3042\u308b<\/li>\n<\/ul>\n<p >\u3053\u308c\u3089\u306e\u6027\u8cea\u306f\u3001\u5f62\u5f0f\u7684\u306a\u9023\u7d9a\u6027\u306e\u5b9a\u7fa9\u304b\u3089\u8a3c\u660e\u3059\u308b\u306e\u306f\u96e3\u3057\u304f\u898b\u3048\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u304c\u3001\u5b9f\u969b\u306b\u306f\u975e\u5e38\u306b\u5bb9\u6613\u3067\u3059\u3002\u306a\u305c\u306a\u3089\u3001\u3059\u3067\u306b <a href=\"https:\/\/toposuranos.com\/la-definicion-de-limite-demostraciones-y-teoremas\/\" rel=\"noopener\" target=\"_blank\">\u8a3c\u660e\u6e08\u307f\u3067\u3042\u308b\u6975\u9650\u306e\u4ee3\u6570<\/a> \u3068\u307b\u307c\u540c\u3058\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u3053\u3067\u518d\u5ea6\u8a3c\u660e\u3059\u308b\u5fc5\u8981\u304c\u306a\u3044\u304b\u3089\u3067\u3059\u3002<\/p>\n<h5>\u9023\u7d9a\u95a2\u6570\u306e\u5408\u6210<\/h5>\n<p ><span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u304c <span class=\"katex-eq\" data-katex-display=\"false\">I\\subseteq Dom(f)<\/span> \u3067\u9023\u7d9a\u3057\u3001<span class=\"katex-eq\" data-katex-display=\"false\">g<\/span> \u304c <span class=\"katex-eq\" data-katex-display=\"false\">f(I)<\/span> \u3067\u9023\u7d9a\u3059\u308b\u306a\u3089\u3070\u3001\u5408\u6210\u95a2\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">(g\\circ f)(x) = g(f(x))<\/span> \u306f <span class=\"katex-eq\" data-katex-display=\"false\">I<\/span> \u3067\u9023\u7d9a\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3059\u3067\u306b\u76f4\u611f\u7684\u306b\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u95a2\u6570\u306e\u6975\u9650\u306b\u304a\u3051\u308b\u5408\u6210\u5247\u304b\u3089\u76f4\u63a5\u5c0e\u304b\u308c\u308b\u7d50\u679c\u3067\u3059\u3002<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u7df4\u7fd2\u554f\u984c<\/h2>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/R91vswfQT_Q\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<ol >\n<li>\u6b21\u306e\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u5206\u6790\u3057\u306a\u3055\u3044<br \/>\n<table>\n<tbody>\n<tr>\n<td width=\"30\">a.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=\\dfrac{1}{x-2} - 3x<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=33s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>b.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=\\dfrac{x+1}{x^2-4x+3}<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=97s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>c.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=|x-1| + \\sin(x)<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=215s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>d.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=\\dfrac{\\cos(x)}{x}<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=450s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>e.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=csc(2x)<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=564s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>f.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=\\dfrac{x\\tan(x)}{x^2 + 1}<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=666s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>g.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=\\sqrt{2x + 3}<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=784s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>h.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=\\dfrac{x+2}{\\cos(x)}<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=917s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>i.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=\\dfrac{\\sqrt{x^4 + 1}}{1+\\sin^2(x)}<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=952s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>\u6b21\u306e\u6975\u9650\u3092\u8a08\u7b97\u3057\u306a\u3055\u3044\u3002\u305d\u306e\u95a2\u6570\u306f\u8fd1\u3065\u304f\u70b9\u3067\u9023\u7d9a\u3057\u3066\u3044\u307e\u3059\u304b\uff1f<br \/>\n<table>\n<tbody>\n<tr>\n<td width=\"30\">a.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{x\\to\\pi} \\sin(x -\\sin(x))<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=1033s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>b.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{x\\to 0} \\sin\\left(\\dfrac{\\pi}{2}\\cos(\\tan(x)) \\right)<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=1092s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>c.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{x\\to 1} \\sec\\left(x\\sec^2(x) - \\tan^2(x) -1 \\right)<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=1162s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>d.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{x\\to 0} \\tan\\left(\\dfrac{\\pi}{4}\\cos\\left(\\sin\\left(x^{1\/3}\\right)\\right) \\right)<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=1274s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>e.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{x\\to 0} \\cos\\left(\\dfrac{\\pi}{\\sqrt{19 - 3\\sec{2x}}} \\right)<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=1424s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<tr>\n<td>f.<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{x\\to \\pi\/6} \\sqrt{\\csc^2(x) + 5\\sqrt{3}\\tan(x)}<\/span><\/td>\n<td><a href=\"https:\/\/www.youtube.com\/watch?v=R91vswfQT_Q&amp;t=1505s\" target=\"_blank\" rel=\"noopener\"><strong>\u89e3\u7b54<\/strong><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u6975\u9650\u3068\u9023\u7d9a\u6027 \u8981\u7d04: \u672c\u8b1b\u7fa9\u3067\u306f\u3001\u95a2\u6570\u306e\u6975\u9650\u3068\u9023\u7d9a\u6027\u306e\u95a2\u4fc2\u3092\u6271\u3044\u3001\u307e\u305a\u76f4\u89b3\u7684\u304a\u3088\u3073\u5f62\u5f0f\u7684\u306a\u8aac\u660e\u304b\u3089\u59cb\u3081\u307e\u3059\u3002\u3042\u308b\u70b9\u304a\u3088\u3073\u96c6\u5408\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027\u3092\u63a2\u7a76\u3057\u3001\u95a2\u6570\u304c\u9023\u7d9a\u3067\u3042\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u6761\u4ef6\u3092\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u9023\u7d9a\u95a2\u6570\u306e\u4ee3\u6570\u7684\u6027\u8cea\uff08\u548c\u3001\u7a4d\u3001\u5546\u3001\u95a2\u6570\u306e\u5408\u6210\uff09\u306b\u3064\u3044\u3066\u3082\u793a\u3055\u308c\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u3055\u307e\u3056\u307e\u306a\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u5206\u6790\u3057\u3001\u6975\u9650\u3092\u8a08\u7b97\u3057\u3066\u9023\u7d9a\u6027\u306e\u6982\u5ff5\u3068\u95a2\u9023\u4ed8\u3051\u308b\u5b9f\u8df5\u7684\u306a\u4f8b\u3092\u89e3\u304d\u307e\u3059\u3002 \u5b66\u7fd2\u76ee\u6a19: \u672c\u8b1b\u7fa9\u7d42\u4e86\u6642\u3001\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059: \u5206\u6790\u3059\u308b \u4e0e\u3048\u3089\u308c\u305f\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u3001\u5b9a\u7fa9\u3055\u308c\u305f\u6761\u4ef6\u3092\u691c\u8a3c\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3002 \u8a55\u4fa1\u3059\u308b \u95a2\u6570\u304c\u3042\u308b\u96c6\u5408\u4e0a\u3067\u9023\u7d9a\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u3001\u9023\u7d9a\u6027\u306e\u5f62\u5f0f\u7684\u5b9a\u7fa9\u3092\u7528\u3044\u3066\u3002 \u8a3c\u660e\u3059\u308b \u95a2\u6570\u306e\u4ee3\u6570\u7684\u6027\u8cea\u306b\u57fa\u3065\u3044\u3066\u305d\u306e\u9023\u7d9a\u6027\u3092\u3002 \u5206\u985e\u3059\u308b \u4e0d\u9023\u7d9a\u70b9\u3092\u3001\u6e80\u305f\u3055\u308c\u306a\u3044\u6761\u4ef6\u306b\u5fdc\u3058\u3066\u7570\u306a\u308b\u7a2e\u985e\u306b\u3002 \u5185\u5bb9\u76ee\u6b21: \u5e8f\u8ad6 \u4e00\u70b9\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027 \u96c6\u5408\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027 \u9023\u7d9a\u95a2\u6570\u306e\u6027\u8cea \u7df4\u7fd2\u554f\u984c \u5e8f\u8ad6 \u76f4\u89b3\u7684\u306b\u8a00\u3048\u3070\u3001\u9023\u7d9a\u6027\u3068\u306f \u30b0\u30e9\u30d5\u3092\u300c\u925b\u7b46\u3092\u96e2\u3055\u305a\u306b\u300d\u63cf\u3051\u308b\u6027\u8cea\u3068\u3057\u3066\u7406\u89e3\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u6982\u5ff5\u306f\u305d\u308c\u81ea\u4f53\u3067\u306f\u975e\u5e38\u306b\u308f\u304b\u308a\u3084\u3059\u3044\u3082\u306e\u306e\u3001\u6570\u5b66\u7684\u63a8\u8ad6\u306e\u53b3\u5bc6\u3055\u3092\u6c42\u3081\u308b\u5834\u5408\u306b\u306f\u5341\u5206\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u4e00\u5b9a\u306e\u898f\u7bc4\u304c\u5fc5\u8981\u3068\u306a\u308a\u307e\u3059\u3002\u5f62\u5f0f\u7684\u306b\u8a00\u3048\u3070\u3001\u95a2\u6570\u306e\u9023\u7d9a\u6027\u306f\u6975\u9650\u306e\u6982\u5ff5\u3068\u5bc6\u63a5\u306b\u7d50\u3073\u3064\u3044\u3066\u304a\u308a\u3001\u3053\u3053\u3067\u306f\u305d\u308c\u3092\u8a73\u7d30\u306b\u5b66\u3073\u307e\u3059\u3002 \u4e00\u70b9\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027 \u95a2\u6570 \u304c\u3042\u308b\u70b9\u3067\u9023\u7d9a\u3067\u3042\u308b \u3068\u306f\u3001\u6b21\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u5834\u5408\u306b\u9650\u308a\u307e\u3059: \u304c \u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u3053\u3068 \u6975\u9650 \u304c\u5b58\u5728\u3059\u308b\u3053\u3068 \u3067\u3042\u308b\u3053\u3068 \u3053\u308c\u3089\u3059\u3079\u3066\u306f\u6b21\u306e\u6570\u5f0f\u3067\u8981\u7d04\u3067\u304d\u307e\u3059\u3002 \u3053\u308c\u306f\u307e\u3055\u306b\u6570\u5b66\u7684\u306a\u6975\u9650\u306e\u5b9a\u7fa9\u3067\u3042\u308a\u3001\u5024\u300cL\u300d\u3092\u300cf()\u300d\u306b\u7f6e\u304d\u63db\u3048\u305f\u3082\u306e\u3067\u3059\u3002 \u96c6\u5408\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027 \u9023\u7d9a\u6027\u306e\u5b9a\u7fa9 \u306f\u3001\u7279\u5b9a\u306e\u96c6\u5408\u5185\u306e\u3059\u3079\u3066\u306e\u70b9\u306b\u5bfe\u3057\u3066\u62e1\u5f35\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u304c\u96c6\u5408 \u5185\u3067\u9023\u7d9a\u3067\u3042\u308b\u3068\u306f\u3001\u4efb\u610f\u306e\u70b9 \u306b\u304a\u3044\u3066\u9023\u7d9a\u3067\u3042\u308b\u5834\u5408\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u6b21\u306e\u6570\u5f0f\u3067\u8981\u7d04\u3055\u308c\u307e\u3059\u3002 \u9023\u7d9a\u95a2\u6570\u306e\u6027\u8cea \u9023\u7d9a\u95a2\u6570\u306e\u4ee3\u6570 \u3068 \u304c\u9023\u7d9a\u95a2\u6570\u3067\u3042\u308b\u5834\u5408 \u306b\u304a\u3044\u3066\u3001\u6b21\u304c\u6210\u308a\u7acb\u3061\u307e\u3059: \u306f \u3067\u9023\u7d9a\u3067\u3042\u308b \u306f \u3067\u9023\u7d9a\u3067\u3042\u308b \u3082\u3057 \u306a\u3089\u3070\u3001 \u306f \u3067\u9023\u7d9a\u3067\u3042\u308b \u306f \u3067\u3042\u308b\u9650\u308a \u3067\u9023\u7d9a\u3067\u3042\u308b [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":29557,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":14,"footnotes":""},"categories":[1332,1300],"tags":[],"class_list":["post-34338","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-1332","category--ja"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u6975\u9650\u3068\u9023\u7d9a\u6027 - toposuranos.com\/material<\/title>\n<meta name=\"description\" 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