{"id":34015,"date":"2024-08-17T13:00:35","date_gmt":"2024-08-17T13:00:35","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34015"},"modified":"2025-08-01T07:04:07","modified_gmt":"2025-08-01T07:04:07","slug":"%e7%89%87%e5%81%b4%e6%a5%b5%e9%99%90%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%80%81%e5%b1%95%e9%96%8b%e3%80%81%e3%81%8a%e3%82%88%e3%81%b3%e6%bc%94%e7%bf%92","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e7%89%87%e5%81%b4%e6%a5%b5%e9%99%90%ef%bc%9a%e5%ae%9a%e7%be%a9%e3%80%81%e5%b1%95%e9%96%8b%e3%80%81%e3%81%8a%e3%82%88%e3%81%b3%e6%bc%94%e7%bf%92\/","title":{"rendered":"\u7247\u5074\u6975\u9650\uff1a\u5b9a\u7fa9\u3001\u5c55\u958b\u3001\u304a\u3088\u3073\u6f14\u7fd2"},"content":{"rendered":"<p><center><\/p>\n<h1>\u7247\u5074\u6975\u9650\uff1a\u5b9a\u7fa9\u3001\u5c55\u958b\u3001\u304a\u3088\u3073\u6f14\u7fd2<\/h1>\n<p><em><strong>\u8981\u7d04\uff1a<\/strong><br \/>\n\u672c\u8a18\u4e8b\u3067\u306f\u3001\u5fae\u7a4d\u5206\u306b\u304a\u3051\u308b\u7247\u5074\u6975\u9650\u304a\u3088\u3073\u4e21\u5074\u6975\u9650\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u3001\u305d\u308c\u3089\u304c\u76f4\u611f\u7684\u304a\u3088\u3073\u5f62\u5f0f\u7684\u306b\u3069\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u3001\u9069\u7528\u3055\u308c\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002\u30b0\u30e9\u30d5\u7684\u304a\u3088\u3073\u4ee3\u6570\u7684\u306a\u4f8b\u3092\u63d0\u793a\u3057\u3001\u3053\u308c\u3089\u306e\u5834\u5408\u306b\u304a\u3044\u3066\u6975\u9650\u306e\u4ee3\u6570\u6cd5\u5247\u3092\u4f7f\u7528\u3059\u308b\u305f\u3081\u306e\u6761\u4ef6\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u7406\u89e3\u3092\u6df1\u3081\u308b\u305f\u3081\u306e\u89e3\u7b54\u4ed8\u304d\u6f14\u7fd2\u3082\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u672c\u8a18\u4e8b\u306e\u76ee\u7684\u306f\u3001\u5fae\u7a4d\u5206\u306e\u5b66\u7fd2\u306b\u304a\u3044\u3066\u57fa\u672c\u3068\u306a\u308b\u3053\u308c\u3089\u306e\u6982\u5ff5\u306b\u3064\u3044\u3066\u660e\u78ba\u304b\u3064\u7c21\u6f54\u306a\u898b\u901a\u3057\u3092\u63d0\u4f9b\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/em><\/p>\n<p><strong>\u5b66\u7fd2\u76ee\u6a19\uff1a<\/strong><br \/>\n\u672c\u8b1b\u7fa9\u3092\u7d42\u3048\u308b\u307e\u3067\u306b\u3001\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<ul style=\"text-align:left;\">\n<li><strong>\u7406\u89e3\u3059\u308b\uff1a<\/strong> \u7247\u5074\u6975\u9650\u3068\u4e21\u5074\u6975\u9650\u306e\u9055\u3044\u3002<\/li>\n<li><strong>\u5b9a\u7fa9\u3059\u308b\uff1a<\/strong> \u53f3\u5074\u304a\u3088\u3073\u5de6\u5074\u304b\u3089\u306e\u7247\u5074\u6975\u9650\u3092\u5f62\u5f0f\u7684\u306b\u3002<\/li>\n<li><strong>\u9069\u7528\u3059\u308b\uff1a<\/strong> \u7247\u5074\u6975\u9650\u306e\u5b9a\u7fa9\u3092\u5fae\u7a4d\u5206\u306e\u554f\u984c\u306b\u3002<\/li>\n<li><strong>\u89e3\u91c8\u3059\u308b\uff1a<\/strong> \u7247\u5074\u304a\u3088\u3073\u4e21\u5074\u6975\u9650\u3092\u30b0\u30e9\u30d5\u7684\u306b\u3002<\/li>\n<li><strong>\u8a8d\u8b58\u3059\u308b\uff1a<\/strong> \u4e21\u5074\u6975\u9650\u304c\u5b58\u5728\u3059\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u6761\u4ef6\u3002<\/li>\n<li><strong>\u6d3b\u7528\u3059\u308b\uff1a<\/strong> \u7247\u5074\u6975\u9650\u306e\u6587\u8108\u3067\u6975\u9650\u306e\u4ee3\u6570\u6cd5\u5247\u3092\u3002<\/li>\n<li><strong>\u89e3\u304f\uff1a<\/strong> \u7247\u5074\u6975\u9650\u306b\u95a2\u9023\u3059\u308b\u5fae\u7a4d\u5206\u306e\u6f14\u7fd2\u554f\u984c\u3002<\/li>\n<\/ul>\n<p><strong>\u76ee\u6b21\uff1a<\/strong><br \/>\n<a href=\"#1\">\u5c0e\u5165<\/a><br \/>\n<a href=\"#2\">\u7247\u5074\u6975\u9650\u304a\u3088\u3073\u4e21\u5074\u6975\u9650\u306e\u76f4\u611f\u7684\u306a\u30a2\u30a4\u30c7\u30a2<\/a><br \/>\n<a href=\"#3\">\u7247\u5074\u6975\u9650\u306e\u5f62\u5f0f\u7684\u5b9a\u7fa9<\/a><br \/>\n<a href=\"#4\">\u6975\u9650\u306e\u4ee3\u6570\u6cd5\u5247\u306e\u9069\u7528\u6761\u4ef6<\/a><br \/>\n<a href=\"#5\">\u6f14\u7fd2\u554f\u984c\uff08\u63d0\u6848\u304a\u3088\u3073\u89e3\u7b54\uff09<\/a><\/p>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/8lkvxEHsF6c\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><br \/>\n<\/center><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u5c0e\u5165<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=138s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u7247\u5074\u6975\u9650\u306f\u3001\u5de6\u307e\u305f\u306f\u53f3\u306e\u3044\u305a\u308c\u304b\u4e00\u65b9\u304b\u3089\u306e\u307f\u6975\u9650\u304c\u5b58\u5728\u3057\u3046\u308b\u5834\u5408\u306b\u73fe\u308c\u307e\u3059\u3002<\/span><\/strong><\/a> \u3053\u308c\u307e\u3067\u306b\u5b66\u3093\u3067\u304d\u305f\u6975\u9650\u306f\u3001\u307e\u3055\u306b\u5f8c\u8005\u306e\u30bf\u30a4\u30d7\u3067\u3059\uff1a\u95a2\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f<\/span><\/span> \u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x \\to x_0<\/span><\/span> \u306b\u304a\u3051\u308b\u6975\u9650\u304c\u5b58\u5728\u3059\u308b\u305f\u3081\u306b\u306f\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f<\/span><\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x_0<\/span><\/span> \u306e\u4e21\u5074\u3067\u3057\u3063\u304b\u308a\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u306a\u3044\u5834\u5408\u3001\u6975\u9650\u306e\u5b9a\u7fa9\u306f\u6a5f\u80fd\u3057\u307e\u305b\u3093\u3002\u3053\u306e\u7a2e\u306e\u6975\u9650\u304c\u73fe\u308c\u308b\u72b6\u6cc1\u306f\u983b\u7e41\u306b\u3042\u308b\u305f\u3081\u3001\u305d\u308c\u306b\u5bfe\u51e6\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u306b\u3001\u5f62\u5f0f\u7684\u306a\u5b9a\u7fa9\u304c\u5c0e\u5165\u3055\u308c\u307e\u3059\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u7247\u5074\u6975\u9650\u304a\u3088\u3073\u4e21\u5074\u6975\u9650\u306e\u76f4\u611f\u7684\u306a\u30a2\u30a4\u30c7\u30a2<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=279s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u95a2\u6570\u306e\u6975\u9650\u304c\u5b58\u5728\u3059\u308b\u305f\u3081\u306b\u306f<\/span><\/strong><\/a>\u3001\u95a2\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f<\/span><\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x \\to x_0<\/span><\/span> \u306e\u3068\u304d\u306b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x_0<\/span><\/span> \u306e\u4e21\u5074\u3067\u3057\u3063\u304b\u308a\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308c\u3070\u3001\u305d\u308c\u306f\u300c\u4e21\u5074\u6975\u9650\u300d\u304c\u5b58\u5728\u3059\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u3055\u3089\u306b\u305d\u306e\u6975\u9650\u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">L<\/span><\/span> \u306b\u7b49\u3057\u3044\u306a\u3089\u3070\u3001\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u306b\u4f55\u306e\u554f\u984c\u3082\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to x_0}f(x) = L<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u3055\u3066\u3001\u4eca\u3053\u306e\u95a2\u6570\u3092\u518d\u5b9a\u7fa9\u3057\u3066\u3001\u305d\u306e\u5b9a\u7fa9\u57df\u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x_0<\/span><\/span> \u3088\u308a\u5927\u304d\u3044\u5024\u306e\u307f\u3092\u542b\u3080\u3088\u3046\u306b\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x<\/span><\/span> \u306b\u304a\u3044\u3066\u610f\u5473\u3092\u6301\u305f\u306a\u3044\u5024\u304c\u5b58\u5728\u3059\u308b\u305f\u3081\u3001\u6975\u9650\u306f\u5b58\u5728\u3057\u306a\u304f\u306a\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u30b0\u30e9\u30d5\u7684\u306b\u306f\u4f9d\u7136\u3068\u3057\u3066 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x \\to x_0<\/span><\/span> \u306e\u3068\u304d\u306b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f(x)<\/span><\/span> \u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">L<\/span><\/span> \u306b\u8fd1\u3065\u304f\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u3002\u3053\u3053\u3067\u5f97\u3089\u308c\u308b\u76f4\u611f\u7684\u306a\u30a2\u30a4\u30c7\u30a2\u304c\u300c\u53f3\u5074\u304b\u3089\u306e\u7247\u5074\u6975\u9650\u300d\u3067\u3042\u308a\u3001\u3053\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to x_0^+}f(x) = L<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u305d\u3057\u3066\u3001\u5168\u304f\u540c\u69d8\u306b\u300c\u5de6\u5074\u304b\u3089\u306e\u6975\u9650\u300d\u3082\u6b21\u306e\u3088\u3046\u306b\u8868\u73fe\u3067\u304d\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to x_0^-}f(x) = L<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u6700\u7d42\u7684\u306b\u3001\u4e21\u5074\u6975\u9650\u306f\u7247\u5074\u6975\u9650\u304c\u5b58\u5728\u3057\u3001\u305d\u308c\u3089\u304c\u7b49\u3057\u3044\u3068\u304d\u306b\u9650\u3063\u3066\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to x_0^-}f(x) = \\lim_{x\\to x_0}f(x) = \\lim_{x\\to x_0^+}f(x)<\/span><\/span><\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u7247\u5074\u6975\u9650\u306e\u5f62\u5f0f\u7684\u5b9a\u7fa9<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=438s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u7247\u5074\u6975\u9650\u3092\u5f62\u5f0f\u7684\u306b\u5b9a\u7fa9\u3059\u308b\u306b\u306f<\/span><\/strong><\/a>\u3001\u5143\u3005\u306e\u6975\u9650\u306e\u5b9a\u7fa9\u306b\u308f\u305a\u304b\u306a\u4fee\u6b63\u3092\u52a0\u3048\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to x_0} f(x) = L := \\left(\\forall \\epsilon\\gt 0 \\right)<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\exist \\delta \\gt 0 \\right)<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\right.<\/span><\/span> <span style=\"background-color: #88ff88;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0\\lt|x-x_0|\\lt\\delta <\/span><\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left.\\rightarrow |f(x)-L|\\lt\\epsilon \\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u53f3\u5074\u304b\u3089\u306e\u7247\u5074\u6975\u9650\u306b\u5bfe\u3059\u308b\u5b9a\u7fa9\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\forall \\epsilon\\gt 0 \\right)<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\exist \\delta \\gt 0 \\right)<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\right.<\/span><\/span> <span style=\"background-color: #88ff88;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x_0 \\lt x \\lt x_0 + \\delta <\/span><\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left.\\rightarrow |f(x)-L|\\lt\\epsilon \\right)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u5de6\u5074\u304b\u3089\u306e\u7247\u5074\u6975\u9650\u306b\u3064\u3044\u3066\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\forall \\epsilon\\gt 0 \\right)<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\exist \\delta \\gt 0 \\right)<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left(\\right.<\/span><\/span> <span style=\"background-color: #88ff88;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x_0 - \\delta \\lt x \\lt x_0<\/span><\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\left.\\rightarrow |f(x)-L|\\lt\\epsilon \\right)<\/span><\/span><\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u6975\u9650\u306e\u4ee3\u6570\u6cd5\u5247\u304c\u6210\u7acb\u3059\u308b\u6761\u4ef6<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=801s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u3053\u308c\u3089\u306e\u5b9a\u7fa9\u3092\u6301\u3064\u3053\u3068\u306e\u9762\u767d\u3055\u306f\u3001<\/span><\/strong><\/a>\u305d\u308c\u3089\u304c\u901a\u5e38\u306e\u6975\u9650\u5b9a\u7fa9\u306e\u4e2d\u306b\u540c\u6642\u306b\u542b\u307e\u308c\u3066\u3044\u308b\u3068\u3044\u3046\u70b9\u3067\u3059\u3002\u3053\u308c\u306f\u91cd\u8981\u3067\u3042\u308a\u3001\u3059\u3067\u306b\u4e21\u5074\u6975\u9650\u306b\u3064\u3044\u3066\u8a3c\u660e\u3057\u305f\u3059\u3079\u3066\u306e\u6027\u8cea\u3092\u518d\u3073\u8a3c\u660e\u3059\u308b\u5fc5\u8981\u304c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u6975\u9650\u306e\u4ee3\u6570\u6cd5\u5247\u306f\u3001\u4ee5\u4e0b\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u9650\u308a\u3001\u3053\u308c\u307e\u3067\u306e\u6388\u696d\u3067\u5b66\u3093\u3060\u901a\u308a\u306b\u6a5f\u80fd\u3057\u307e\u3059\uff1a\u5bfe\u8c61\u3068\u306a\u308b\u6975\u9650\u304c\u540c\u3058\u6027\u8cea\uff08\u3069\u3061\u3089\u3082\u5de6\u5074\u304b\u3089\u3001\u307e\u305f\u306f\u3069\u3061\u3089\u3082\u53f3\u5074\u304b\u3089\u3067\u3042\u308a\u3001\u6c7a\u3057\u3066\u6df7\u5728\u3057\u306a\u3044\uff09\u3092\u6301\u3063\u3066\u3044\u308b\u3053\u3068\u3001\u540c\u3058\u70b9\u306b\u5411\u304b\u3063\u3066\u3044\u308b\u3053\u3068\u3001\u305d\u3057\u3066\u305d\u306e\u70b9\u3067\u6975\u9650\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u3002<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u63d0\u6848\u304a\u3088\u3073\u89e3\u7b54\u4ed8\u304d\u6f14\u7fd2\u554f\u984c<\/h2>\n<ol style=\"text-align: justify;\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to {\\frac{1}{2}}^- } \\sqrt{\\dfrac{x+2}{x+1}} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=994s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u3010\u89e3\u7b54\u3011<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 1^+} \\sqrt{\\dfrac{x-1}{x+2}} <\/span><\/span><a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=1058s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"> <strong>\u3010\u89e3\u7b54\u3011<\/strong><\/span><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 2^+} \\left(\\dfrac{x}{x+1} \\right) \\left(\\dfrac{2x+5}{x^2+x} \\right)<\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=1058s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u3010\u89e3\u7b54\u3011<\/strong><\/span><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 1^-} \\left(\\dfrac{1}{x+1} \\right) \\left(\\dfrac{x+6}{x} \\right) \\left(\\dfrac{3-x}{x} \\right) <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=1102s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u3010\u89e3\u7b54\u3011<\/strong><\/span><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{h\\to 0^+ } \\dfrac{\\sqrt{h^2 + 4h +5} - \\sqrt{5}}{h} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=1168s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u3010\u89e3\u7b54\u3011<\/strong><\/span><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{h\\to 0^-} \\dfrac{\\sqrt{6} - \\sqrt{5h^2 + 11h +6}}{h}<\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=1276s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u3010\u89e3\u7b54\u3011<\/span><\/strong><\/a><\/li>\n<li>\n<table>\n<tbody>\n<tr style=\"text-align: justify;\">\n<td>a. <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to -2^+} (x+3)\\dfrac{|x+2|}{x+2}\n\n<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>b. <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to -2^-} (x+3)\\dfrac{|x+2|}{x+2}\n\n<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=1378s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u3010\u89e3\u7b54\u3011<\/span><\/strong><\/a><\/li>\n<li>\n<table>\n<tbody>\n<tr style=\"text-align: justify;\">\n<td>a. <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 1^+} \\dfrac{\\sqrt{2x}(x-1)}{|x-1|}\n\n<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>b. <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 1^-}\\dfrac{\\sqrt{2x}(x-1)}{|x-1|}\n\n<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=8lkvxEHsF6c&amp;t=1655s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u3010\u89e3\u7b54\u3011<\/span><\/strong><\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u7247\u5074\u6975\u9650\uff1a\u5b9a\u7fa9\u3001\u5c55\u958b\u3001\u304a\u3088\u3073\u6f14\u7fd2 \u8981\u7d04\uff1a \u672c\u8a18\u4e8b\u3067\u306f\u3001\u5fae\u7a4d\u5206\u306b\u304a\u3051\u308b\u7247\u5074\u6975\u9650\u304a\u3088\u3073\u4e21\u5074\u6975\u9650\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u3001\u305d\u308c\u3089\u304c\u76f4\u611f\u7684\u304a\u3088\u3073\u5f62\u5f0f\u7684\u306b\u3069\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u3001\u9069\u7528\u3055\u308c\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002\u30b0\u30e9\u30d5\u7684\u304a\u3088\u3073\u4ee3\u6570\u7684\u306a\u4f8b\u3092\u63d0\u793a\u3057\u3001\u3053\u308c\u3089\u306e\u5834\u5408\u306b\u304a\u3044\u3066\u6975\u9650\u306e\u4ee3\u6570\u6cd5\u5247\u3092\u4f7f\u7528\u3059\u308b\u305f\u3081\u306e\u6761\u4ef6\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u7406\u89e3\u3092\u6df1\u3081\u308b\u305f\u3081\u306e\u89e3\u7b54\u4ed8\u304d\u6f14\u7fd2\u3082\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u672c\u8a18\u4e8b\u306e\u76ee\u7684\u306f\u3001\u5fae\u7a4d\u5206\u306e\u5b66\u7fd2\u306b\u304a\u3044\u3066\u57fa\u672c\u3068\u306a\u308b\u3053\u308c\u3089\u306e\u6982\u5ff5\u306b\u3064\u3044\u3066\u660e\u78ba\u304b\u3064\u7c21\u6f54\u306a\u898b\u901a\u3057\u3092\u63d0\u4f9b\u3059\u308b\u3053\u3068\u3067\u3059\u3002 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