{"id":373,"date":"2023-07-04T05:10:26","date_gmt":"2023-07-04T05:10:26","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e6%a8%aa%e6%96%b9%e5%90%91%e3%81%ae%e9%99%90%e7%95%8c\/"},"modified":"2023-07-04T05:10:26","modified_gmt":"2023-07-04T05:10:26","slug":"%e6%a8%aa%e6%96%b9%e5%90%91%e3%81%ae%e9%99%90%e7%95%8c","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e6%a8%aa%e6%96%b9%e5%90%91%e3%81%ae%e9%99%90%e7%95%8c\/","title":{"rendered":"\u6a2a\u65b9\u5411\u306e\u9650\u754c"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u5236\u9650\u3068\u306f\u4f55\u304b\u3092 (\u4f8b\u3068\u3068\u3082\u306b) \u8aac\u660e\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u95a2\u6570\u306e\u5de6\u53f3\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u3092\u30b0\u30e9\u30d5\u3068\u6570\u5024\u306e\u4e21\u65b9\u3067\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3082\u6559\u3048\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6a2a\u65b9\u5411\u306e\u9650\u754c\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3059\u308b\u30a8\u30af\u30b5\u30b5\u30a4\u30ba\u3067\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-limites-laterales\"><\/span>\u6a2a\u65b9\u5411\u306e\u5236\u9650\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3042\u308b\u70b9\u306b\u304a\u3051\u308b<strong>\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u3001<\/strong>\u305d\u306e\u70b9\u306e\u5468\u56f2\u3067\u306e\u95a2\u6570\u306e\u52d5\u4f5c\u3092\u7814\u7a76\u3057\u307e\u3059\u3002\u5de6\u6a2a\u9650\u754c\u3068\u53f3\u6a2a\u9650\u754c\u304c\u3042\u308a\u3001\u305d\u308c\u305e\u308c\u8003\u616e\u3055\u308c\u305f\u70b9\u306e\u5de6\u5074\u3068\u53f3\u5074\u306e\u95a2\u6570\u306e\u5024\u3092\u5206\u6790\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"limites-laterales-por-la-izquierda-y-por-la-derecha\"><\/span>\u5de6\u53f3\u306e\u6a2a\u65b9\u5411\u306e\u5236\u9650<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5074\u65b9\u5883\u754c\u306e\u5b9a\u7fa9\u3067\u898b\u305f\u3088\u3046\u306b\u3001\u5de6\u5074\u306e\u5074\u65b9\u5883\u754c\u3068\u53f3\u5074\u306e\u5074\u65b9\u5883\u754c\u306e 2 \u3064\u306e\u30bf\u30a4\u30d7\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u95a2\u6570\u306e\u5de6\u9650\u754c\u306f\u3001\u9650\u754c\u3092\u89e3\u6790\u3059\u308b\u6642\u70b9\u3067\u30de\u30a4\u30ca\u30b9\u8a18\u53f7\u3067\u8868\u3055\u308c\u3001\u4e00\u65b9\u3001\u53f3\u9650\u754c\u306f\u30d7\u30e9\u30b9\u8a18\u53f7\u3067\u793a\u3055\u308c\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-129\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><strong><u style=\"text-decoration-color:#FF9B28;\">\u5de6\u5074\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c<\/u><\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3224554094b2418a485786bfbe4db5f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a^{\\color{orange}\\bm{-}\\color{black}}}f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"141\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><strong><u style=\"text-decoration-color:#FF9B28;\">\u53f3\u5074\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c<\/u><\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e2e49ad15a0b5fd2db93797689ea1b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a^{\\color{orange}\\bm{+}\\color{black}}}f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"141\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u6a2a\u65b9\u5411\u306e\u5236\u9650\u306e\u610f\u5473\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u4f8b\u3092\u898b\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/limites-laterales.webp\" alt=\"\u6a2a\u65b9\u5411\u306e\u9650\u754c\" class=\"wp-image-823\" width=\"299\" height=\"314\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u3053\u306e\u533a\u5206\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u8868\u793a\u304b\u3089\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u6a2a\u65b9\u5411\u306e\u5236\u9650\u306f\u8a08\u7b97\u3055\u308c\u308b\u5074\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u95a2\u6570\u306f\u3001x \u304c\u5de6\u304b\u3089 x=2 \u306b\u8fd1\u3065\u304f\u306b\u3064\u308c\u3066 3 \u306b\u8fd1\u3044\u5024\u3092\u53d6\u308b\u305f\u3081\u3001 <em>x \u304c<\/em>\u5de6\u304b\u3089 2 \u306b\u8fd1\u3065\u304f\u306b\u3064\u308c\u3066\u95a2\u6570\u306f 3 \u306b\u8fd1\u3065\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u76f4\u7dda\u306b\u3088\u308b x=2 \u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f 6 \u306e\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u76f4\u7dda\u306b\u3088\u3063\u3066\u70b9 x=2 \u306b\u8fd1\u3065\u304f\u3068\u3001\u95a2\u6570\u306f f(x)= \u306b\u3069\u3093\u3069\u3093\u8fd1\u3065\u304f\u5024\u3092\u53d6\u308b\u304b\u3089\u3067\u3059\u3002 6.<\/p>\n<p>\u4e00\u65b9\u3001\u6a2a\u65b9\u5411\u306e\u5236\u9650\u306b\u306f\u901a\u5e38\u306e\u5236\u9650\u3068\u540c\u3058\u7279\u6027\u304c\u3042\u308b\u3053\u3068\u3092\u77e5\u3063\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6b21\u306e\u30ea\u30f3\u30af\u3067\u306f\u3001\u5883\u754c\u30d7\u30ed\u30d1\u30c6\u30a3\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u7279\u6027\u306e\u9650\u754c\u306e\u6cd5\u5247\/\">\u5883\u754c\u30d7\u30ed\u30d1\u30c6\u30a3<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"limites-laterales-iguales\"><\/span>\u7b49\u3057\u3044\u6a2a\u65b9\u5411\u306e\u5236\u9650<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u95a2\u6570\u306e\u8fba\u306e\u5236\u9650\u304c\u7570\u306a\u308b\u4f8b\u3092\u898b\u307e\u3057\u305f\u304c&#8230;\u8fba\u306e\u5236\u9650\u304c\u540c\u3058\u5834\u5408\u306f\u3069\u3046\u306a\u308b\u3067\u3057\u3087\u3046\u304b?<\/p>\n<p><strong>\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u4e21\u65b9\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u304c\u5b58\u5728\u3057\u3001\u305d\u308c\u3089\u304c\u7b49\u3057\u3044\u5834\u5408<\/strong>\u3001\u95a2\u6570\u306e\u9650\u754c\u306f\u305d\u306e\u70b9\u306b\u5b58\u5728\u3057\u3001\u305d\u306e\u6975\u9650\u306e\u7d50\u679c\u306f\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306e\u5024\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001\u3042\u308b\u70b9\u306b\u95a2\u6570\u306e\u9650\u754c\u304c\u5b58\u5728\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d596fffab33786b9af4466210642acf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a^-}f(x)=\\lim_{x\\to a^+}f(x)=L \\ \\iff \\ \\lim_{x\\to a}f(x)=L\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"378\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u304c\u7570\u306a\u308b\u5834\u5408\u3001\u305d\u306e\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u9650\u754c\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\u3002<\/p>\n<p>\u307e\u305f\u3001\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u6975\u9650\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u306f\u3001\u305d\u306e\u95a2\u6570\u304c<span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u9023\u7d9a\u95a2\u6570-\u95a2\u6570\u306e\u9023\u7d9a\u6027\/\">\u70b9\u306b\u304a\u3051\u308b\u9023\u7d9a\u95a2\u6570<\/a><\/span>\u3067\u3042\u308b\u305f\u3081\u306e\u5fc5\u9808\u306e\u6761\u4ef6\u3067\u3059\u3002<\/p>\n<p>\u6a2a\u65b9\u5411\u306e\u5236\u9650\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u4f8b\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/continuite-dune-fonction-definie-par-morceaux.webp\" alt=\"\" class=\"wp-image-201\" width=\"429\" height=\"299\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u30b0\u30e9\u30d5\u3067\u8868\u3055\u308c\u305f\u95a2\u6570\u306e\u70b9 x=-2 \u306b\u304a\u3051\u308b\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u4e00\u81f4\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001x=-2 \u306b\u5de6\u304b\u3089\u8fd1\u3065\u304f\u304b\u53f3\u304b\u3089\u8fd1\u3065\u304f\u304b\u306b\u95a2\u4fc2\u306a\u304f\u3001\u95a2\u6570\u306e\u5024\u304c 3 \u306b\u8fd1\u3065\u304f\u50be\u5411\u304c\u3042\u308b\u305f\u3081\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001x=-2 \u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u6975\u9650\u306f 3 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b7e7a7ee82b827ba469558c38fc81a45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -2^-}f(x)=\\lim_{x\\to -2^+}f(x)=3 \\ \\longrightarrow \\ \\lim_{x\\to -2}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"389\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001\u70b9 x=4 \u3067\u306f\u3001\u95a2\u6570\u306f\u5de6\u304b\u3089\u306f f(x)=3 \u306b\u8fd1\u3065\u304d\u307e\u3059\u304c\u3001\u53f3\u304b\u3089\u306f\u95a2\u6570\u306f f(x)=2 \u306b\u8fd1\u3065\u304f\u305f\u3081\u3001\u6a2a\u65b9\u5411\u306e\u9650\u754c\u304c\u7570\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u6642\u70b9\u3067\u306f\u95a2\u6570\u306e\u5236\u9650\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3a52e97ba4cff3c4cd84977fb27db89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 4^-}f(x)=3 \\neq \\lim_{x\\to 4^+}f(x)=2 \\ \\longrightarrow \\ \\cancel{\\exists} \\ \\lim_{x\\to 4}f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"374\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculo-de-limites-laterales\"><\/span>\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306e\u8a08\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6a2a\u65b9\u5411\u306e\u5236\u9650\u306e\u5b9a\u7fa9\u3092\u8003\u616e\u3057\u3066\u3001\u6b21\u306e\u4f8b\u3092\u89e3\u304f\u3053\u3068\u3067\u3001\u6a2a\u65b9\u5411\u306e\u5236\u9650\u304c\u6570\u5024\u7684\u306b\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42104fdcfcbc6e35486c13774c7288ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2}\\frac{3}{x-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"74\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u901a\u5e38\u3069\u304a\u308a\u6975\u9650\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\u5b9f\u6570\u3092 0 \u3067\u5272\u3063\u305f\u4e0d\u78ba\u5b9a\u6027\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d98b33a08f3017676e2271bdb0b325d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2}\\frac{3}{x-2}=\\frac{3}{2-2}=\\frac{3}{0}=\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"220\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u305f\u3060\u3057\u3001\u6a2a\u65b9\u5411\u306e\u9650\u754c\u3092\u8a08\u7b97\u3059\u308b\u5834\u5408\u3001\u4e0d\u78ba\u5b9a\u6027\u306f\u5f97\u3089\u308c\u307e\u305b\u3093\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-df0f7477f84abd22a805c7cf70300f16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}\\frac{3}{x-2}=\\ \\color{red}\\bm{?}\\color{black} \\qquad \\lim_{x\\to 2^+}\\frac{3}{x-2}=\\ \\color{red}\\bm{?}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"378\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> x=2 \u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u3092\u5de6\u304b\u3089\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001x=2 \u3088\u308a\u5c0f\u3055\u3044\u304c\u305d\u308c\u306b\u975e\u5e38\u306b\u8fd1\u3044\u6570\u5024 (\u305f\u3068\u3048\u3070\u3001x=1.999) \u3092\u53d6\u5f97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3cc43d40eb552932818635f1abcd310_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}\\frac{3}{x-2}=\\frac{3}{\\color{red}\\bm{1,999}\\color{black}-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"252\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u5206\u6bcd\u306f\u975e\u5e38\u306b\u5c0f\u3055\u3044\u5024\u3092\u6301\u3064\u8ca0\u306e\u6570\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u30bc\u30ed\u3067\u306f\u306a\u304f\u3001\u901a\u5e38\u306f\u305d\u306e\u524d\u306b\u30bc\u30ed\u3068\u30de\u30a4\u30ca\u30b9\u8a18\u53f7\u3092\u4ed8\u3051\u3066\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32da1df64469d97474fd1b9e25efcd31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}\\frac{3}{x-2}=\\frac{3}{1,999-2}=\\frac{3}{\\color{red}\\bm{-0}\\color{black}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"302\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6a2a\u65b9\u5411\u306e\u5236\u9650\u306e\u7d50\u679c\u306f\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u306b\u306a\u308a\u307e\u3059\u3002\u6570\u5024\u3092 0 \u3067\u5272\u308b\u3068\u7121\u9650\u5927\u3068\u306a\u308a\u3001\u6b63\u3092\u8ca0\u3067\u5272\u308b\u3068\u8ca0\u306b\u306a\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-44072ab37d2d34b0a1cf8655d4b576c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}\\frac{3}{x-2}=\\frac{3}{1,999-2}=\\frac{3}{-0}=\\color{red}\\bm{-\\infty}\\color{black}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"358\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u5de6\u304b\u3089 x=2 \u306b\u8fd1\u3044\u5024\u3092\u6301\u3064\u95a2\u6570\u306e\u753b\u50cf\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3001\u95a2\u6570\u304c\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u306b\u8fd1\u3065\u3044\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-97d799f09c2e0890cf3a856bf9c711a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\begin{array}{l}f(1,9)=\\cfrac{3}{1,9-2}=-30\\\\[2ex]f(1,99)=\\cfrac{3}{1,99-2}=-300\\\\[2ex]f(1,999)=\\cfrac{3}{1,999-2}=-3000\\\\[2ex]f(1,9999)=\\cfrac{3}{1,9999-2}=-30000\\\\[2ex]f(1,99999)=\\cfrac{3}{1,99999-2}=-300000\\end{array}\\\\[16ex]\\vdots\\\\[1.5ex] f(2^-)=-\\infty\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"317\" width=\"294\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u540c\u69d8\u306b\u3001\u53f3\u5074\u306e\u70b9 x=2 \u3067\u306e\u95a2\u6570\u306e\u6975\u9650\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u540c\u3058\u63a8\u8ad6\u3092\u9069\u7528\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u30012 \u3088\u308a\u5927\u304d\u3044\u304c\u975e\u5e38\u306b\u8fd1\u3044\u5024 (2001 \u306a\u3069) \u3092\u63a1\u7528\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-21cbd07eef353c53bdfa09eaceb6bd25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^+}\\frac{3}{x-2}=\\frac{3}{2,001-2}=\\frac{3}{+0}=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"292\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u540c\u69d8\u306b\u3001\u53f3\u304b\u3089 x=2 \u306b\u8fd1\u3044\u5024\u3092\u6301\u3064\u95a2\u6570\u306e\u753b\u50cf\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3001\u95a2\u6570\u304c\u7121\u9650\u5927\u306b\u5411\u304b\u3046\u50be\u5411\u304c\u3042\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e6d448cdad3ac6ba82e749b30d2bcc11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\begin{array}{l}f(2,1)=\\cfrac{3}{2,1-2}=30\\\\[2ex]f(2,01)=\\cfrac{3}{2,01-2}=300\\\\[2ex]f(2,001)=\\cfrac{3}{2,001-2}=3000\\\\[2ex]f(2,0001)=\\cfrac{3}{2,0001-2}=30000\\\\[2ex]f(2,00001)=\\cfrac{3}{2,00001-2}=300000\\end{array}\\\\[16ex]\\vdots\\\\[1.5ex] f(2^+)=+\\infty\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"317\" width=\"280\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b21\u306e\u30b0\u30e9\u30d5\u3067\u306f\u3001\u5206\u6790\u3055\u308c\u305f\u95a2\u6570\u304c\u8868\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u5de6\u5074\u306e\u70b9 x=2 \u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u3067\u3042\u308a\u3001\u53f3\u5074\u306e\u70b9 x=2 \u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u30d7\u30e9\u30b9\u7121\u9650\u5927\u3067\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-graphique-dune-fonction-de-proportionnalite-inverse.webp\" alt=\"\" class=\"wp-image-166\" width=\"508\" height=\"514\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-limites-laterales\"><\/span>\u6a2a\u65b9\u5411\u306e\u5883\u754c\u306e\u554f\u984c\u304c\u4fee\u6b63\u3055\u308c\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e\u533a\u5206\u7684\u306b\u5b9a\u7fa9\u3055\u308c\u305f\u95a2\u6570\u306e\u3001\u5b9a\u7fa9\u304c\u5909\u5316\u3059\u308b\u70b9 (x=-2 \u304a\u3088\u3073 x=4) \u306b\u304a\u3051\u308b\u6a2a\u65b9\u5411\u306e\u9650\u754c\u3092\u6c42\u3081\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-fonctions-definies-par-parties.webp\" alt=\"\" class=\"wp-image-209\" width=\"395\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u70b9 x=-2 \u3067\u306f\u4e00\u81f4\u305b\u305a\u3001\u5de6\u5074\u3067\u306f\u95a2\u6570\u306f f(x)=5 \u306b\u5411\u304b\u3046\u50be\u5411\u304c\u3042\u308a\u3001\u4e00\u65b9\u3001\u53f3\u5074\u3067\u306f\u95a2\u6570\u306f\u5b9a\u6570\u3067\u3042\u308a\u3001\u5024\u306f 3 \u3067\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36fbddc8f36db5a92d77dd9e9b3b81ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -2^-}f(x)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"118\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e153627ce1a29511f502c30bd599a6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -2^+}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"119\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x \u304c 4 \u306b\u8fd1\u3065\u304f\u306b\u3064\u308c\u3066\u8fba\u306e\u9650\u754c\u3082\u7570\u306a\u308a\u307e\u3059\u3002\u533a\u5206\u95a2\u6570\u306f\u5de6\u304b\u3089 3 \u306b\u8fd1\u3065\u304d\u307e\u3059\u304c\u3001\u53f3\u304b\u3089 -2 \u306b\u8fd1\u3065\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c590b4da48c82d7a43ef65e89b3e9977_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 4^-}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"109\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4d4c175b4f2e5ecfe44fb41fe420820_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 4^+}f(x)=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"121\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p> x \u304c\u6b21\u306e\u533a\u5206\u95a2\u6570\u306e 3 \u306b\u8fd1\u3065\u304f\u3068\u304d\u306b\u6975\u9650\u304c\u5b58\u5728\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3057\u3001\u5b58\u5728\u3059\u308b\u5834\u5408\u306f\u305d\u306e\u5024\u304c\u4f55\u304b\u3092\u5224\u65ad\u3057\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/limites-laterales-dune-fonction-par-morceaux.webp\" alt=\"\u533a\u5206\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u5236\u9650\" class=\"wp-image-866\" width=\"337\" height=\"303\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u554f\u984c\u3067\u306f\u3001\u5de6\u304b\u3089\u3067\u3082\u53f3\u304b\u3089\u3067\u3082\u95a2\u6570\u306f\u540c\u3058\u5024 (f(x)=3) \u306b\u5411\u304b\u3046\u50be\u5411\u304c\u3042\u308b\u305f\u3081\u3001\u70b9 x=3 \u306e\u5de6\u304b\u3089\u3068\u53f3\u304b\u3089\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u540c\u3058\u3067\u3059\u3002 \u3002\u5f7c\u306e\u53f3\u5074: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d8f2aea7db3ddf52e74f09960dd15629_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 3^-}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"109\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ee9606c4d6e820e4ac3bb5fa5aa3575_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 3^+}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"108\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u6975\u9650\u306e\u6570\u5b66\u7684\u5b9a\u7fa9\u306b\u3088\u308c\u3070\u3001\u3053\u306e\u540c\u3058\u70b9\u306e 2 \u3064\u306e\u6a2a\u65b9\u5411\u306e\u6975\u9650\u304c\u3053\u306e\u5024\u3067\u4e00\u81f4\u3059\u308b\u305f\u3081\u3001x \u304c 3 \u306b\u306a\u308b\u50be\u5411\u304c\u3042\u308b\u3068\u304d\u306e\u95a2\u6570\u306e\u6975\u9650\u306f 3 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f82de582de8671680e14cfbf92001010_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 3^-}f(x)=\\lim_{x\\to 3^+}f(x)=3 \\ \\longrightarrow \\ \\lim_{x\\to 3}f(x)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"357\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x=3 \u3067\u306e\u95a2\u6570\u306e\u9650\u754c\u306f 3 \u3067\u3059\u304c\u3001\u3053\u306e\u6642\u70b9\u3067\u306e\u95a2\u6570\u306f 3 \u3067\u306f\u306a\u304f\u3001f(3)=7 \u3067\u3042\u308b\u3053\u3068\u3092\u8003\u616e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5f8c\u3067\u8aac\u660e\u3059\u308b\u3088\u3046\u306b\u3001\u3053\u308c\u306f\u95a2\u6570\u304c x=3 \u3067\u9023\u7d9a\u7684\u3067\u306f\u306a\u304f\u3001\u56de\u907f\u53ef\u80fd\u306a\u4e0d\u9023\u7d9a\u6027\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p>\u6b21\u306e\u6709\u7406\u95a2\u6570\u306e\u70b9 x=4 \u306b\u304a\u3051\u308b\u6a2a\u65b9\u5411\u306e\u6975\u9650\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5eff7e2ff1b4df8ee2ec49b7db80a18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{-2x+3}{x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"132\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">x \u304c\u5de6\u304b\u3089 4 \u306b\u5411\u304b\u3046\u50be\u5411\u304c\u3042\u308b\u5834\u5408\u306e\u5236\u9650\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u30014 \u3088\u308a\u5c0f\u3055\u3044\u304c\u305d\u308c\u306b\u975e\u5e38\u306b\u8fd1\u3044\u5024 (\u305f\u3068\u3048\u3070 3,999) \u3092\u63a1\u7528\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-845fc23ff2883308a9b535c84cd69d83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 4^-}\\frac{-2x+3}{x-4}=\\frac{-2\\cdot 3,999+3}{3,999-4}=\\frac{-4,998}{-0}=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"385\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001x \u304c\u5de6\u304b\u3089 4 \u306b\u8fd1\u3065\u304f\u3068\u304d\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u30d7\u30e9\u30b9\u7121\u9650\u5927\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001x \u304c\u53f3\u304b\u3089 4 \u306b\u5411\u304b\u3046\u50be\u5411\u304c\u3042\u308b\u5834\u5408\u306e\u5236\u9650\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u95a2\u6570\u3092 4 \u3088\u308a\u5927\u304d\u304f\u3001\u305d\u308c\u306b\u975e\u5e38\u306b\u8fd1\u3044\u5024\u3001\u305f\u3068\u3048\u3070 4,001 \u3067\u8a55\u4fa1\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef680d721aae4b9b993bbc65542d5d2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 4^+}\\frac{-2x+3}{x-4}=\\frac{-2\\cdot 4,001+3}{4,001-4}=\\frac{-5,002}{+0}=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"385\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001x \u304c\u53f3\u304b\u3089 4 \u306b\u8fd1\u3065\u304f\u3068\u304d\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u70b9 x=2 \u3067\u5b9a\u7fa9\u3055\u308c\u305f\u6b21\u306e\u533a\u5206\u95a2\u6570\u306e\u6975\u9650\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u306f\u3001\u305d\u308c\u3092\u6c42\u3081\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40d5632016e70b9d9ab8e46e76e0102b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\left\\{ \\begin{array}{lcl} x^2-3 &amp; \\text{si} &amp;  x \\leq 2 \\\\[2ex]\\displaystyle \\frac{-3x+5}{x-3} &amp; \\text{si} &amp; x>2 \\end{array} \\right.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;75&#8243; width=&#8221;235&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u554f\u984c\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u3067\u306f\u3001\u533a\u5206\u95a2\u6570\u304c\u5f0f\u3092\u5909\u66f4\u3059\u308b\u6975\u9650\u3092\u898b\u3064\u3051\u308b\u3088\u3046\u306b\u6c42\u3081\u3089\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u6700\u521d\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u5de6\u5074\u306e\u6975\u9650\u3092\u898b\u3064\u3051\u30012 \u756a\u76ee\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u53f3\u5074\u306e\u6975\u9650\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-312aa6dc645115b9d1a680ef3cc5fb9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}f(x)=\\lim_{x\\to 2^-}(x^2-3)=2^2-3=1\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"303\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cad9d8ff045408344a1435ec6441aa73_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^+}f(x)=\\lim_{x\\to 2^+}\\frac{-3x+5}{x-3}=\\frac{-3\\cdot 2+5}{2-3}=\\frac{-1}{-1}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"392\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5de6\u5074\u306e x=2 \u3067\u306e\u95a2\u6570\u306e\u6975\u9650\u306f\u53f3\u5074\u306e\u95a2\u6570\u306e\u6975\u9650\u3068\u4e00\u81f4\u3059\u308b\u305f\u3081\u3001\u95a2\u6570\u306e\u6975\u9650\u306f\u5b58\u5728\u3057\u30011 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fe286d19fdb8b3f5859e8073869660ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 2^-}f(x)=\\lim_{x\\to 2^+}f(x)=1 \\ \\longrightarrow \\ \\lim_{x\\to 2}f(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"356\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u5236\u9650\u3068\u306f\u4f55\u304b\u3092 (\u4f8b\u3068\u3068\u3082\u306b) \u8aac\u660e\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u95a2\u6570\u306e\u5de6\u53f3\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u3092\u30b0\u30e9\u30d5\u3068\u6570\u5024\u306e\u4e21\u65b9\u3067\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3082\u6559\u3048\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6a2a\u65b9\u5411\u306e\u9650\u754c\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3059\u308b\u30a8\u30af\u30b5\u30b5\u30a4\u30ba\u3067\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u3059\u308b\u3053\u3068 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e6%a8%aa%e6%96%b9%e5%90%91%e3%81%ae%e9%99%90%e7%95%8c\/\"> <span class=\"screen-reader-text\">\u6a2a\u65b9\u5411\u306e\u9650\u754c<\/span> \u3082\u3063\u3068\u8aad\u3080 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[11],"tags":[],"class_list":["post-373","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized 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