{"id":24,"date":"2023-09-17T11:06:22","date_gmt":"2023-09-17T11:06:22","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e9%80%a3%e7%b6%9a%e9%96%a2%e6%95%b0-%e9%96%a2%e6%95%b0%e3%81%ae%e9%80%a3%e7%b6%9a%e6%80%a7\/"},"modified":"2023-09-17T11:06:22","modified_gmt":"2023-09-17T11:06:22","slug":"%e9%80%a3%e7%b6%9a%e9%96%a2%e6%95%b0-%e9%96%a2%e6%95%b0%e3%81%ae%e9%80%a3%e7%b6%9a%e6%80%a7","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e9%80%a3%e7%b6%9a%e9%96%a2%e6%95%b0-%e9%96%a2%e6%95%b0%e3%81%ae%e9%80%a3%e7%b6%9a%e6%80%a7\/","title":{"rendered":"\u9023\u7d9a\u95a2\u6570\uff08\u95a2\u6570\u306e\u9023\u7d9a\u6027\uff09"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u9023\u7d9a\u95a2\u6570\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u95a2\u6570\u304c\u3042\u308b\u70b9\u3067\u9023\u7d9a\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u9023\u7d9a\u95a2\u6570\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3068\u6700\u3082\u4e00\u822c\u7684\u306a\u95a2\u6570\u306e\u9023\u7d9a\u6027\u89e3\u6790\u3082\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u9023\u7d9a\u95a2\u6570\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u3092\u4f7f\u3063\u3066\u7df4\u7fd2\u3057\u3001\u6982\u5ff5\u3092\u5b8c\u5168\u306b\u7406\u89e3\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-es-una-funcion-continua\"><\/span>\u9023\u7d9a\u95a2\u6570\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u30b0\u30e9\u30d5\u3067\u8abf\u3079\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<strong>\u9023\u7d9a\u95a2\u6570\u3068\u306f\u3001\u7d19\u304b\u3089\u925b\u7b46\u3092\u843d\u3068\u3055\u306a\u304f\u3066\u3082\u30b0\u30e9\u30d5\u4e0a\u306b\u8868\u73fe\u3067\u304d\u308b\u95a2\u6570\u3067\u3059\u3002<\/strong><\/p>\n<p class=\"has-text-align-center has-medium-font-size\"><u style=\"text-decoration-color:#FF9B28;\"><strong>\u9023\u7d9a\u6a5f\u80fd<\/strong><\/u><\/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\/fonction-continue.webp\" alt=\"\u9023\u7d9a\u95a2\u6570\" class=\"wp-image-1491\" width=\"354\" height=\"255\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p>\u4e0a\u8a18\u306e\u6a5f\u80fd\u306f\u3001\u7d19\u304b\u3089\u624b\u3092\u96e2\u3055\u305a\u306b\u4e00\u7b46\u66f8\u304d\u3067\u304d\u308b\u305f\u3081\u9023\u7d9a\u7684\u3067\u3059\u3002<\/p>\n<p>\u9006\u306b\u3001\u95a2\u6570\u306e\u4e2d\u306b\u524d\u306e\u9023\u7d9a\u6761\u4ef6\u304c\u5165\u3063\u3066\u3044\u306a\u3044\u5834\u5408\u3001\u305d\u306e\u95a2\u6570\u306f<strong>\u4e0d\u9023\u7d9a\u95a2\u6570<\/strong>\u3068\u8a00\u308f\u308c\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center has-medium-font-size\"><u style=\"text-decoration-color:#FF9B28;\"><strong>\u4e0d\u9023\u7d9a\u95a2\u6570<\/strong><\/u><\/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\/fonction-pointillee.webp\" alt=\"\u4e0d\u9023\u7d9a\u95a2\u6570\" class=\"wp-image-1495\" width=\"354\" height=\"262\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p>\u524d\u306e\u95a2\u6570\u306f\u3001\u305d\u308c\u3092\u8868\u3059\u305f\u3081\u306b\u925b\u7b46\u3067 2 \u672c\u306e\u7dda\u3092\u5f15\u304f\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u4e0d\u9023\u7d9a\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u95a2\u6570\u306f x=3 \u3067\u9023\u7d9a\u3067\u306a\u304f\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001x=3 \u306f<strong>\u4e0d\u9023\u7d9a\u70b9\u3067<\/strong>\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001<strong>\u4e0d\u9023\u7d9a\u306b\u306f\u3001\u56de\u907f\u53ef\u80fd\u306a\u4e0d\u9023\u7d9a\u3001\u4e0d\u53ef\u907f\u306e\u6709\u9650\u30b8\u30e3\u30f3\u30d7\u4e0d\u9023\u7d9a\u3001\u4e0d\u53ef\u907f\u306e\u7121\u9650\u30b8\u30e3\u30f3\u30d7\u4e0d\u9023\u7d9a\u306e 3 \u7a2e\u985e<\/strong>\u304c\u3042\u308a\u307e\u3059\u3002\u6b21\u306e\u30ea\u30f3\u30af\u3067\u306f\u3001\u5404\u30bf\u30a4\u30d7\u306e\u4e0d\u9023\u7d9a\u6027\u304c\u3069\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u305d\u308c\u305e\u308c\u306e\u9055\u3044\u306f\u4f55\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\/\u4e0d\u9023\u7d9a\u6027\u306e\u7a2e\u985e\/\">\u4e0d\u9023\u7d9a\u6027\u306e\u7a2e\u985e<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"continuidad-de-una-funcion-en-un-punto\"><\/span>\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u9023\u7d9a\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u9023\u7d9a\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c\u3069\u306e\u3088\u3046\u306b\u898b\u3048\u308b\u304b\u3092\u78ba\u8a8d\u3057\u305f\u3089\u3001\u95a2\u6570\u304c\u9023\u7d9a\u304b\u3069\u3046\u304b\u3092\u5206\u6790\u7684\u306b\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p>\u6570\u5b66\u7684\u306b\u306f\u3001<strong>\u6b21\u306e 3 \u3064\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u5834\u5408\u3001\u95a2\u6570\u306f\u3042\u308b\u70b9\u3067\u9023\u7d9a\u3067\u3059\u3002<\/strong><\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;border:\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u3053\u306e\u70b9\u306b\u95a2\u6570\u304c\u5b58\u5728\u3059\u308b\u3001\u3064\u307e\u308a\u70b9\u306e\u30a4\u30e1\u30fc\u30b8\u304c\u5b58\u5728\u3059\u308b\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e7292d399b69758819eab74a2aa9afd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\exists \\ f(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"48\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u3053\u306e\u6642\u70b9\u3067\u306f\u6a5f\u80fd\u306e\u9650\u754c\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u6642\u70b9\u3067\u306e\u95a2\u6570\u306e\u5de6\u53f3\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c4c9431d93839b2511a56583101db46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to a^-} f(x) = \\lim_{x \\to a^+} f(x)  \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black} \\quad \\exists \\lim_{x \\to a} f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"413\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u70b9\u306e\u30a4\u30e1\u30fc\u30b8\u306f\u3001\u3053\u306e\u70b9\u3067\u306e\u95a2\u6570\u306e\u9650\u754c\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da2902aa458fe8a9c8234e2be38336c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(a)=\\lim_{x \\to a} f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"123\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/ol>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u3059\u3079\u3066\u306e\u70b9\u3067 3 \u3064\u306e\u9023\u7d9a\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u5834\u5408\u3001\u305d\u306e\u95a2\u6570\u306f\u9023\u7d9a\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u6b21\u306e\u533a\u5206\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u5206\u6790\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\/continuite-dune-fonction-definie-par-morceaux.webp\" alt=\"\u533a\u5206\u7684\u306b\u5b9a\u7fa9\u3055\u308c\u305f\u95a2\u6570\u306e\u9023\u7d9a\u6027\" class=\"wp-image-201\" width=\"440\" height=\"306\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p>\u30bb\u30af\u30b7\u30e7\u30f3\u3092\u5909\u3048\u3066\u3082\u305d\u306e\u6642\u70b9\u3067<\/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-01f282abd343bbe6b83c45e54b86c6ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3053\u306e\u70b9\u3067\u306e\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u7b49\u3057\u304f\u3001\u3053\u306e\u70b9\u3067\u306e\u95a2\u6570\u306e\u5024\u3068\u4e00\u81f4\u3059\u308b\u305f\u3081\u3001\u95a2\u6570\u306f\u9023\u7d9a\u7684\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-3f659d88902824c6a762a5ebe2d6db14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{x \\to -2^-} f(x)=\\lim\\limits_{x \\to -2^+} f(x)= f(-2)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"300\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001\u95a2\u6570\u306f\u6b21\u306e\u70b9\u3067\u306f\u9023\u7d9a\u3067\u306f\u3042\u308a\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-2145acc2878ed61214887e120f2485b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> 2 \u3064\u306e\u6a2a\u65b9\u5411\u306e\u5236\u9650\u304c\u7570\u306a\u308b\u305f\u3081\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-5f9d62d0c5ddcefe8cc4cbe2daaf6d57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lim\\limits_{x \\to 4^-} f(x)=3 \\neq \\lim\\limits_{x \\to 4^+} f(x)= 2\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"240\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u3064\u307e\u308a\u3001\u30d4\u30fc\u30b9\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u95a2\u6570\u306f\u3001\u5b9f\u6570\u3092\u9664\u304f\u3059\u3079\u3066\u306e\u5b9f\u6570\u306b\u304a\u3044\u3066\u9023\u7d9a\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-9ad850560a1ff3e3bb4386cf732d0220_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=4,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"47\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u65ad\u7d76\u304c\u3042\u308b\u3068\u3053\u308d\u3002<\/p>\n<p>\u307e\u305f\u3001\u95a2\u6570\u304c\u4e0d\u9023\u7d9a\u3067\u3042\u308b\u3053\u3068\u3082\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-2145acc2878ed61214887e120f2485b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u308c\u3092\u30b0\u30e9\u30d5\u30a3\u30ab\u30eb\u306b\u8868\u73fe\u3059\u308b\u306b\u306f\u3001\u3053\u306e\u6642\u70b9\u3067\u7d19\u304b\u3089\u925b\u7b46\u3092\u53d6\u308a\u9664\u304f\u5fc5\u8981\u304c\u3042\u308b\u304b\u3089\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"continuidad-de-funciones-elementales\"><\/span>\u521d\u7b49\u95a2\u6570\u306e\u9023\u7d9a\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7279\u5b9a\u306e\u7a2e\u985e\u306e\u95a2\u6570\u306f\u3001\u305d\u306e\u7279\u6027\u306b\u3088\u308a\u9023\u7d9a\u7684\u3067\u3059\u3002<\/p>\n<ul>\n<li><strong>\u5b9a\u6570\u95a2\u6570\u306f<\/strong>\u3059\u3079\u3066\u306e\u5b9f\u6570\u306b\u304a\u3044\u3066\u9023\u7d9a\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-252f9958e223f77bf50cb3b92a7c3e35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=k\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u591a\u9805\u5f0f\u95a2\u6570\u306f<\/strong>\u3059\u3079\u3066\u306e\u5b9f\u6570\u306b\u5bfe\u3057\u3066\u9023\u7d9a\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3094a01ff9b10acb7c44349cda083025_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a_0+a_1x+a_2x^2+a_3x^3+\\dots+a_nx^n\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"338\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u6709\u7406\uff08\u307e\u305f\u306f\u5206\u6570\uff09\u95a2\u6570\u306f\u3001<\/strong>\u5206\u6570\u306e\u5206\u6bcd\u3092\u6253\u3061\u6d88\u3059\u5024\u3092\u9664\u3044\u3066\u3059\u3079\u3066\u306e\u5b9f\u6570\u3067\u9023\u7d9a\u3057\u3066\u304a\u308a\u3001\u3053\u308c\u3089\u306e\u70b9\u3067\u95a2\u6570\u306f\u4e0d\u9023\u7d9a\u6027\u3092\u793a\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6cc33f4306e45701e8bc92457779201d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{p(x)}{q(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"93\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u6307\u6570\u95a2\u6570\u306f<\/strong>\u3059\u3079\u3066\u306e\u5b9f\u6570\u306b\u308f\u305f\u3063\u3066\u9023\u7d9a\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73aa6cf687ce5e8c2f9faf41f5614e53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=a^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u5bfe\u6570\u95a2\u6570\u306f\u3001<\/strong>\u5f15\u6570\u3092\u6b63\u306b\u3059\u308b\u3059\u3079\u3066\u306e\u70b9\u3067\u9023\u7d9a\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d94badc2befa1e0c57a867970b1040aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_a (x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"112\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u7121\u7406\u95a2\u6570<\/strong>\u3001\u307e\u305f\u306f\u30eb\u30fc\u30c8\u3092\u6301\u3064\u95a2\u6570\u306e\u9023\u7d9a\u6027\u306f\u3001\u6839\u53f7 (n) \u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u304c\u5076\u6570\u306e\u5834\u5408\u3001\u3053\u308c\u3089\u306f\u30eb\u30fc\u30c8\u5f15\u6570\u3092 0 \u4ee5\u4e0a\u306b\u3059\u308b\u3059\u3079\u3066\u306e\u70b9\u3067\u306e\u9023\u7d9a\u95a2\u6570\u3067\u3059\u3002\u3057\u304b\u3057\u3001\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u304c\u5947\u6570\u306e\u5834\u5408\u3001\u305d\u308c\u3089\u306f\u3059\u3079\u3066\u306e\u5b9f\u6570\u306b\u5bfe\u3059\u308b\u9023\u7d9a\u95a2\u6570\u306b\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca6c3302aac609e9214e62444cfec2bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[n]{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"86\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u4e09\u89d2\u95a2\u6570<\/strong>\u306e\u9023\u7d9a\u6027\u306f\u95a2\u6570\u306e\u7a2e\u985e\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002\u30b5\u30a4\u30f3\u95a2\u6570\u3068\u30b3\u30b5\u30a4\u30f3\u95a2\u6570\u306f\u5b9f\u6570\u306e\u96c6\u5408\u306b\u308f\u305f\u3063\u3066\u9023\u7d9a\u3067\u3059\u304c\u3001\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u95a2\u6570\u306f\u70b9\u3067\u4e0d\u9023\u7d9a\u3067\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c1c82b94111254bf0771af43a5b4411_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x=\\frac{\\pi}{2}+k\\pi\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"91\" style=\"vertical-align: -12px;\"><\/p>\n<p> ( <em>k<\/em>\u306f\u6574\u6570\u3067\u3059)\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a42292efae266c09baade046e8a3cb76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=sen(x)\\qquad f(x)=cos(x)\\qquad f(x)=tg(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"383\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-funciones-continuas\"><\/span>\u9023\u7d9a\u95a2\u6570\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30b7\u30e7\u30fc\u30f3<\/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-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u305d\u3057\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a5054ad96fb0978182340eb214bb125_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"32\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u70b9\u306b\u304a\u3051\u308b 2 \u3064\u306e\u9023\u7d9a\u95a2\u6570<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c20f4d749ca0651113257e1f1ea66b02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=a,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u6b21\uff1a<\/p>\n<ul>\n<li>\u3042\u308b\u70b9\u306b\u304a\u3051\u308b<strong>2 \u3064\u306e\u9023\u7d9a\u95a2\u6570\u306e\u5408\u8a08\u306f\u3001<\/strong>\u305d\u306e\u70b9\u306b\u304a\u3051\u308b\u5225\u306e\u9023\u7d9a\u95a2\u6570\u306b\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c566932a59271b6e33a784bcf81ee749_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)+g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3042\u308b\u70b9\u306b\u304a\u3051\u308b<strong>2 \u3064\u306e\u9023\u7d9a\u95a2\u6570\u306e\u7a4d\u306f\u3001<\/strong>\u305d\u306e\u70b9\u306b\u304a\u3051\u308b\u5225\u306e\u9023\u7d9a\u95a2\u6570\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d47b381826b8c5e901bf202b6d4b14c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\\cdot g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3042\u308b\u70b9\u3067<strong>2 \u3064\u306e\u9023\u7d9a\u95a2\u6570\u3092\u9664\u7b97\u3059\u308b\u3068<\/strong>\u3001\u305d\u306e\u70b9\u3067\u9664\u7b97\u95a2\u6570\u304c\u30ad\u30e3\u30f3\u30bb\u30eb\u3055\u308c\u306a\u3044\u9650\u308a\u3001\u305d\u306e\u70b9\u3067\u5225\u306e\u9023\u7d9a\u95a2\u6570\u304c\u751f\u6210\u3055\u308c\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5962b35380c55e0089deeac0a98b01fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{f(x)}{g(x)}\\qquad g(a)\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"135\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3042\u308b\u70b9\u3067<strong>2 \u3064\u306e\u9023\u7d9a\u95a2\u6570\u3092\u5408\u6210\u3059\u308b\u3068\u3001<\/strong>\u540c\u3058\u70b9\u3067 1 \u3064\u306e\u9023\u7d9a\u95a2\u6570\u304c\u751f\u3058\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ba04f43c8995b3659a05f370a10485a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\\circ g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u95a2\u6570\u306e\u5408\u6210-\u8907\u5408\u95a2\u6570\/\">\u300c\u8907\u5408\u95a2\u6570\u3068\u306f\u4f55\u3067\u3059\u304b?\u300d<\/a><\/span><strong>\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/strong> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-continuidad-de-una-funcion\"><\/span>\u95a2\u6570\u306e\u9023\u7d9a\u6027\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e\u30b0\u30e9\u30d5\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u95a2\u6570\u306e\u4e0d\u9023\u7d9a\u70b9\u3092\u898b\u3064\u3051\u307e\u3059\u3002\u307e\u305f\u3001\u305d\u308c\u304c\u3069\u306e\u3088\u3046\u306a\u30bf\u30a4\u30d7\u306e\u4e0d\u9023\u7d9a\u3067\u3042\u308b\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\/exercice-resolu-discontinuites-de-fonctions.webp\" alt=\"\u904b\u52d5\u306b\u3088\u308a\u6a5f\u80fd\u306e\u4e0d\u9023\u7d9a\u6027\u304c\u89e3\u6c7a\u3055\u308c\u305f\" class=\"wp-image-1433\" width=\"400\" height=\"344\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p><strong>\u6ce8:<\/strong>\u3053\u306e\u6f14\u7fd2\u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u3055\u307e\u3056\u307e\u306a\u7a2e\u985e\u306e\u4e0d\u9023\u7d9a\u6027\u304c\u4f55\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u305d\u308c\u3089\u304c\u3069\u306e\u3088\u3046\u306b\u8b58\u5225\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002<u style=\"text-decoration-color:#FF9B28;\">\u4e0d\u9023\u7d9a\u30bf\u30a4\u30d7<\/u>\u306e\u539f\u7406\u306e\u30ea\u30f3\u30af\u3067\u8aac\u660e\u3092\u53c2\u7167\u3067\u304d\u307e\u3059\u3002 <\/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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u95a2\u6570\u3092\u63cf\u304f\u306b\u306f\u3001x=-2\u3001x=1\u3001x=4 \u306e\u4f4d\u7f6e\u3067\u925b\u7b46\u3092\u6301\u3061\u4e0a\u3052\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306f\u3053\u308c\u3089 3 \u3064\u306e\u70b9\u3067\u4e0d\u9023\u7d9a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\"> x=-2 \u3067\u306f\u3001\u5de6\u5074\u306e\u9650\u754c\u306f +\u221e \u3067\u3001\u53f3\u5074\u306e\u9650\u754c\u306f 3 \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u8fba\u306e\u9650\u754c\u306e 1 \u3064\u304c\u7121\u9650\u3067\u3042\u308b\u305f\u3081\u3001\u95a2\u6570\u306b\u306f x=-2 \u3067\u7121\u9650\u30b8\u30e3\u30f3\u30d7\u306e\u4e0d\u9023\u7d9a\u6027\u304c\u907f\u3051\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-eff79ace33659ceb8203e6e27f38fe35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -2^-} f(x) = +\\infty \\ \\neq \\ \\lim_{x \\to -2^+} f(x) = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"296\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x=1 \u3067\u306e\u95a2\u6570\u306e\u9650\u754c\u306f 0 \u3067\u3042\u308a\u3001\u4e00\u65b9\u3001x=1 \u3067\u306e\u95a2\u6570\u306e\u5024\u306f 2 \u306b\u7b49\u3057\u3044\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u95a2\u6570\u306f x=1 \u3067\u56de\u907f\u53ef\u80fd\u306a\u4e0d\u9023\u7d9a\u6027\u3092\u793a\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-3a616cc5210984ffeed3525a219dd53a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1^-} f(x) =   \\lim_{x \\to 1^+} f(x) = 0 \\ \\bm{\\longrightarrow} \\ \\lim_{x \\to 1} f(x) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"350\" 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-61593bab94da601722d6ae7aedfdb172_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1} f(x) =  0 \\neq  f(0) = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"187\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x = 4 \u3067\u306f\u3001\u5de6\u5074\u306e\u9650\u754c\u306f -3 \u3067\u3001\u53f3\u5074\u306e\u9650\u754c\u306f 1 \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u8fba\u306e\u9650\u754c\u306f\u7570\u306a\u308a\u3001\u3069\u3061\u3089\u3082\u7121\u9650\u5927\u3092\u4e0e\u3048\u306a\u3044\u305f\u3081\u3001\u95a2\u6570\u306b\u306f\u5fc5\u7136\u7684\u306b x =4 \u3067\u6709\u9650\u30b8\u30e3\u30f3\u30d7\u306e\u4e0d\u9023\u7d9a\u6027\u304c\u751f\u3058\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-b758745a987f927350b2d885009c3a87_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) = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"265\" 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>\u6b21\u306e\u30b0\u30e9\u30d5\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u95a2\u6570\u304c\u4e0d\u9023\u7d9a\u306b\u306a\u308b\u70b9\u3092\u7279\u5b9a\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\/exercice-resolu-types-de-discontinuites-d-une-fonction.webp\" alt=\"\u95a2\u6570\u306e\u4e0d\u9023\u7d9a\u6027\u306e\u7a2e\u985e\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f\" class=\"wp-image-1435\" width=\"515\" height=\"434\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u70b9 x=6 \u3067\u306f\u3001\u958b\u3044\u305f\u70b9\u304c\u3042\u308b\u305f\u3081\u3001\u95a2\u6570\u306f\u4e2d\u65ad\u3055\u308c\u307e\u3059\u3002 x \u304c 6 \u306b\u8fd1\u3065\u304f\u3068\u304d\u306e\u9650\u754c\u306f -1.4 \u3067\u3059\u304c\u3001f(6)=1 \u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5236\u9650\u306e\u5024\u304c\u95a2\u6570\u306e\u5024\u3068\u4e00\u81f4\u3057\u306a\u3044\u305f\u3081\u3001\u95a2\u6570\u306b\u306f x=6 \u3067\u56de\u907f\u53ef\u80fd\u306a\u4e0d\u9023\u7d9a\u6027\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-33612be383c71fea04c8c886710f7f10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left. \\begin{array}{l} \\displaystyle \\lim_{x \\to 6^-} f(x)=-1,4\\\\[3ex] \\displaystyle \\lim_{x \\to 6^+} f(x)=-1,4 \\end{array} \\right\\} \\bm{\\longrightarrow} \\lim_{x \\to 6} f(x)=-1,4\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"326\" style=\"vertical-align: 0px;\"><\/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-647b9aea6cc8b605d7e8bc7d5e83ee64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 6} f(x)=-1,4 \\neq f(6)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"217\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x=-3 \u3067\u306f\u3001\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u4e00\u81f4\u305b\u305a\u3001\u3069\u308c\u3082\u7121\u9650\u5927\u3092\u4e0e\u3048\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306b\u306f x=-3 \u3067\u6709\u9650\u30b8\u30e3\u30f3\u30d7\u306e\u4e0d\u9023\u7d9a\u6027\u304c\u907f\u3051\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-3f7d2a2c7abbc525adfcc7576b449f1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -3^-} f(x)=-2 \\neq \\lim_{x \\to -3^+} f(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"275\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u3053\u306e\u6642\u70b9\u3067\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u304c\u7121\u9650\u5927\u306b\u306a\u308b\u305f\u3081\u3001\u3053\u306e\u95a2\u6570\u306b\u306f x = 3 \u3067\u7121\u9650\u30b8\u30e3\u30f3\u30d7\u306e\u4e0d\u9023\u7d9a\u6027\u304c\u907f\u3051\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-89bdb1598b6153cec4e9efce7b0927b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 3^-} f(x)=+\\infty \\qquad \\lim_{x \\to 3^+} f(x)=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"300\" 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 3<\/h3>\n<p>\u6b21\u306e\u6709\u7406\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u5206\u6790\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-59ee18262fd6f3427ebab6ceabb22868_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\frac{2}{x-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"101\" 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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6709\u7406\u95a2\u6570\u306f\u305d\u306e\u9818\u57df\u5168\u4f53\u3001\u3064\u307e\u308a\u5206\u6bcd\u3092\u6253\u3061\u6d88\u3059\u5024\u3092\u9664\u304f\u3059\u3079\u3066\u306e\u5b9f\u6570\u306b\u304a\u3044\u3066\u9023\u7d9a\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3069\u306e\u70b9\u304c\u30c9\u30e1\u30a4\u30f3\u306b\u5c5e\u3057\u3066\u3044\u306a\u3044\u306e\u304b\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u3001\u6709\u7406\u95a2\u6570\u306e\u5206\u6bcd\u3092\u30bc\u30ed\u306b\u8a2d\u5b9a\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-845b4cbd750afedb8e09b0ed6a9809c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"73\" style=\"vertical-align: 0px;\"><\/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-8ddab230605c435eb8b7408a736d3e77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"><\/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-96a28ea816d10d62e90dd13ad1aa79c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\{5\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306f x=5 \u3092\u9664\u304f\u3059\u3079\u3066\u306e\u70b9\u3067\u9023\u7d9a\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>\u6b21\u306e\u533a\u5206\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u5206\u6790\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-a18e6289d268e6ea9fe1ee3ea14d31fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\left\\{ \\begin{array}{lcl} 5x-2 &amp; \\text{si} &amp;  x < 1 \\\\[2ex] x^2+2 &amp; \\text{si} &amp; x \\geq 1 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"218\" style=\"vertical-align: 0px;\"><\/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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u521d\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u3082\u95a2\u6570\u306f\u9023\u7d9a\u3057\u3066\u3044\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-e05d9a74362639e610acff0ab2d83b16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"49\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u30012\u756a\u76ee\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3068\u540c\u69d8\u306b\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-79baa9dfae33805a8e2362cc182fd867_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u3001\u3053\u308c\u3089\u306f\u591a\u9805\u5f0f\u95a2\u6570\u3067\u3042\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u304c\u4e0d\u9023\u7d9a\u3067\u3042\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u552f\u4e00\u306e\u70b9\u306f\u3001\u95a2\u6570\u304c\u533a\u5206\u7684\u306b\u5206\u5272\u3055\u308c\u308b\u70b9\u3067\u3059\u3002\u3053\u306e\u6642\u70b9\u3067\u306e\u6a2a\u65b9\u5411\u306e\u5236\u9650\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\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-3c84a263e22011d5c8d67c9ee977f98e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1^-} f(x) = \\lim_{x \\to 1} (5x-2)=5\\cdot 1-2=\\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"309\" 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-a1d1b6f5e109c06114b9e36af6f7078a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1^+} f(x) = \\lim_{x \\to 1} (x^2+2)=1^2+2=\\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"293\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u4e00\u81f4\u3057\u3001x \u304c 1 \u306b\u306a\u308b\u50be\u5411\u304c\u3042\u308b\u3068\u304d\u306e\u95a2\u6570\u306e\u9650\u754c\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-a621c7ef999aae5418c2f71da1da67f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 1^-} f(x) = \\lim_{x \\to 1^+} f(x) = 3 \\ \\bm{\\longrightarrow} \\ \\exists \\lim_{x \\to 1} f(x) = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"360\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3055\u3089\u306b\u3001x=1 \u306e\u753b\u50cf\u3082 3 \u306b\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-61f3e46233f15d71b39af62ae6bfb4eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=1^2+2=\\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001x=1 \u3067\u306e\u95a2\u6570\u306e\u6975\u9650\u306f\u524d\u8a18\u70b9\u306e\u753b\u50cf\u306b\u7b49\u3057\u3044\u305f\u3081\u3001\u95a2\u6570\u306f\u70b9 x=1 \u3067\u9023\u7d9a\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u308c\u306f\u3059\u3079\u3066\u306e\u5b9f\u6570\u306b\u304a\u3044\u3066\u9023\u7d9a\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-8cb4559dfddcda3b3c68a5d64eeadcee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(1)=\\lim_{x \\to 1} f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"122\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 5<\/h3>\n<p>\u6b21\u306e\u7121\u7406\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u8abf\u3079\u3066\u304f\u3060\u3055\u3044\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-c43021550a231793494acc2b6eea24d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{2x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"123\" style=\"vertical-align: -5px;\"><\/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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u308c\u306f\u5076\u6570\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u6301\u3064\u6839\u53f7\u95a2\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u6839\u53f7\u306e\u5f15\u6570\u304c 0 \u3088\u308a\u5927\u304d\u3044\u9650\u308a\u3001\u95a2\u6570\u306f\u9023\u7d9a\u7684\u306b\u306a\u308a\u307e\u3059 (\u8ca0\u306e\u6570\u306e\u5e73\u65b9\u6839\u306f\u5b58\u5728\u3057\u306a\u3044\u305f\u3081)\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-d54da4e00c0cc48d43914e9e34b1c1d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+6\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"82\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e0d\u7b49\u5f0f\u3092\u89e3\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-7739f2163d650971be01af6f5a93ae25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x\\ge -6\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"66\" style=\"vertical-align: -3px;\"><\/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-db29954e4e5815cd2bf4bcbfe4c53145_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\ge \\cfrac{-6}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"67\" style=\"vertical-align: -12px;\"><\/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-dfc84780b14328431bcc372ff904772d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\ge -3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"57\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u89e3\u306f\u3001-3 \u4ee5\u4e0a\u306e\u3059\u3079\u3066\u306e\u6570\u5024\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306f\u305d\u306e\u5b9a\u7fa9\u57df\u306e\u533a\u9593\u3067\u9023\u7d9a\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-1d2a6678926adfe02dc663e155ec573f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = [-3,+\\infty) }\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 6<\/h3>\n<p>\u6b21\u306e\u5bfe\u6570\u95a2\u6570\u306e\u9023\u7d9a\u6027\u3092\u89e3\u6790\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-e2c2073b5212610fcc153bdb47eacccf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\log_3 (-3x+6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"165\" style=\"vertical-align: -5px;\"><\/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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u308c\u306f\u5bfe\u6570\u95a2\u6570\u3067\u3042\u308a\u3001\u8ca0\u306e\u6570\u306e\u5bfe\u6570\u3082 0 \u306e\u5bfe\u6570\u3082\u5b58\u5728\u3057\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u95a2\u6570\u306f\u3001\u5bfe\u6570\u306e\u5f15\u6570\u304c\u6b63 (\u30bc\u30ed\u3088\u308a\u5927\u304d\u3044) \u3067\u3042\u308b\u9650\u308a\u5b58\u5728\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-53c23d1b367425e8cfb94fb36235b8f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x+6>0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;95&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e0d\u7b49\u5f0f\u3092\u89e3\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-d0183470903eba7ebd08dfcdbf49287e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x>-6&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;78&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/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-9c67175fd587232ef7d927f7dfca725f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<\\cfrac{-6}{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"67\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8ca0\u306e\u6570\u3092\u4e0d\u7b49\u5f0f\u306e\u53cd\u5bfe\u5074\u3067\u5272\u308b\u3068\u304d\u306f\u3001\u4e0d\u7b49\u5f0f\u306e\u7b26\u53f7\u3092\u53cd\u8ee2\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\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-88de95669c546ef6d18c28d0579fbe0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"42\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u89e3\u306f 2 \u672a\u6e80\u306e\u3059\u3079\u3066\u306e\u6570\u5024\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306f\u6b21\u306e\u3088\u3046\u306b\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-505dcdf16c80fdf012163a8800d92836_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = (-\\infty,2) }\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"144\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306f\u305d\u306e\u9818\u57df\u5185\u306e\u3059\u3079\u3066\u306e\u70b9\u3067\u9023\u7d9a\u7684\u3067\u3059\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 7<\/h3>\n<p>\u6b21\u306e\u95a2\u6570\u306e\u9023\u7d9a\u6027\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-66e02ab966f87bc29b3791246fbf8032_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{4x-2}{\\sqrt{-2x-8}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"139\" style=\"vertical-align: -16px;\"><\/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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5206\u6570\u306e\u5206\u6bcd\u306b\u306f\u5076\u6570\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u6301\u3064\u6839\u53f7\u304c\u3042\u308b\u305f\u3081\u3001\u6839\u306e\u5185\u5bb9\u304c 0 \u4ee5\u4e0a\u3067\u3042\u308b\u5834\u5408\u306f\u5e38\u306b\u95a2\u6570\u304c\u5b58\u5728\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-042efdf7af54fcbec527f0ee83e1b007_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x-8\\geq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305f\u3060\u3057\u3001\u6839\u306f\u5206\u6570\u306e\u5206\u6bcd\u306b\u3042\u308a\u3001\u5206\u6570\u306e\u5206\u6bcd\u306f\u6c7a\u3057\u3066 0 \u306b\u306a\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306f\u6839\u306e\u5185\u5bb9\u304c\u53b3\u5bc6\u306b 0 \u3088\u308a\u5927\u304d\u3044\u5834\u5408\u306b\u306e\u307f\u5b58\u5728\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-62002e9d71e0718d04d6d9db08d0e04b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x-8> 0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;95&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u3053\u3067\u4e0d\u7b49\u5f0f\u3092\u89e3\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-336543c46271685f7d069786d2cf4e12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x>8&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;64&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/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-3e4a2af9f53dd0a356211660f770666e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<\\cfrac{8}{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"59\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e0d\u7b49\u5f0f\u3092\u4e57\u7b97\u307e\u305f\u306f\u9664\u7b97\u3057\u3066\u8ca0\u306e\u6570\u306e\u8fba\u3092\u5909\u66f4\u3059\u308b\u3068\u304d\u306f\u3001\u4e0d\u7b49\u53f7\u3082\u56de\u8ee2\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\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-ee1c9c50b3c39064f9670f06f9bdc8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<-4\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"57\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7d50\u679c\u306f\u3059\u3079\u3066 -4 \u672a\u6e80\u306e\u6570\u5024\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3001\u3057\u305f\u304c\u3063\u3066\u305d\u306e\u9023\u7d9a\u6027\u306f\u3001\u6b21\u306e\u9593\u9694\u306b\u3088\u3063\u3066\u5b9a\u7fa9\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-00cfb1cb63133c3092854bb810abfce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = (-\\infty,-4) }\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"158\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 8<\/h3>\n<p>\u95a2\u6570\u304c\u5168\u4f53\u306b\u308f\u305f\u3063\u3066\u9023\u7d9a\u3068\u306a\u308b\u3088\u3046\u306b<em>k<\/em>\u306e\u5024\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-6a134e3092861eafea1239dba23bea40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbb{R} .\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\"><\/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-f7d8f0d6e0730c139c3baff0989a8fe7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\left\\{ \\begin{array}{lcl} kx-1 &amp; \\text{si} &amp;  x \\leq 2 \\\\[2ex] 3x^2 - 5  &amp; \\text{si} &amp; x > 2 \\end{array} \\right.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;65&#8243; width=&#8221;225&#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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u95a2\u6570\u304c\u9023\u7d9a\u7684\u3067\u3042\u308b\u305f\u3081\u306b\u306f\u3001\u30d6\u30ec\u30fc\u30af\u30dd\u30a4\u30f3\u30c8\u3067\u306e 2 \u3064\u306e\u6a2a\u65b9\u5411\u306e\u5236\u9650\u304c\u540c\u3058\u7d50\u679c\u3092\u4e0e\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b<em>k<\/em>\u3092\u6301\u305f\u306a\u3044\u90e8\u54c1\u306e\u7834\u65ad\u70b9\u3067\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\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-7eff7d699bc801340c66f4fd95c30b2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 2^+} f(x) = \\lim_{x \\to 2} (3x^2 - 5) = 3\\cdot 2^2-5=\\bm{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"324\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u533a\u5206\u95a2\u6570\u304c\u9023\u7d9a\u3067\u3042\u308b\u305f\u3081\u306b\u306f\u3001\u53cd\u5bfe\u5074\u306e\u5236\u9650\u3082 7 \u306b\u7b49\u3057\u304f\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002<\/p>\n<p class=\"has-text-align-left\">\u3082\u3046\u4e00\u65b9\u306e\u6a2a\u65b9\u5411\u306e\u5236\u9650\u3092\u8a08\u7b97\u3057\u3066\u307f\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-1fc80cd47e7fd6cf50b2f2de57c4b40f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 2^-} f(x) = \\lim_{x \\to 2} (kx-1) = k\\cdot2 -1= 2k-1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"350\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u304c\u9023\u7d9a\u7684\u3067\u3042\u308b\u305f\u3081\u306b\u306f\u3001\u4efb\u610f\u306e\u70b9\u306e 2 \u3064\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u304c\u540c\u3058\u7d50\u679c\u3092\u4e0e\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6975\u9650\u304b\u3089\u5f97\u3089\u308c\u308b\u5f0f\u3092 7 (\u4ed6\u306e\u6a2a\u65b9\u5411\u6975\u9650\u306e\u7d50\u679c) \u306b\u8a2d\u5b9a\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-8b99f2f508e7c3f7ab4ebaa9f30638a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2k -1= 7\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u7d50\u679c\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066<em>k<\/em>\u306e\u5024\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-c591d3bbba83f012852966634d0d8234_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2k-1 = 7\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"82\" style=\"vertical-align: 0px;\"><\/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-747038396badd9b1d5e6336cf463fe13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2k = 7 +1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"81\" style=\"vertical-align: -2px;\"><\/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-fa5cd6bc10e8ce9c34542635d995323c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2k = 8\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"51\" style=\"vertical-align: 0px;\"><\/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-1009397e0b35416230f2a5a3d307755a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k = \\cfrac{8}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"44\" style=\"vertical-align: -12px;\"><\/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-ffe7f00b80fc8f5c4961250446632d6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{k =4}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/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\u9023\u7d9a\u95a2\u6570\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u95a2\u6570\u304c\u3042\u308b\u70b9\u3067\u9023\u7d9a\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u9023\u7d9a\u95a2\u6570\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3068\u6700\u3082\u4e00\u822c\u7684\u306a\u95a2\u6570\u306e\u9023\u7d9a\u6027\u89e3\u6790\u3082\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u9023\u7d9a\u95a2\u6570\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u3092\u4f7f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" 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