{"id":17,"date":"2023-09-17T11:09:22","date_gmt":"2023-09-17T11:09:22","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e7%89%b9%e6%80%a7%e3%81%ae%e9%99%90%e7%95%8c%e3%81%ae%e6%b3%95%e5%89%87\/"},"modified":"2023-09-17T11:09:22","modified_gmt":"2023-09-17T11:09:22","slug":"%e7%89%b9%e6%80%a7%e3%81%ae%e9%99%90%e7%95%8c%e3%81%ae%e6%b3%95%e5%89%87","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e7%89%b9%e6%80%a7%e3%81%ae%e9%99%90%e7%95%8c%e3%81%ae%e6%b3%95%e5%89%87\/","title":{"rendered":"\u9650\u754c\u306e\u6027\u8cea (\u307e\u305f\u306f\u6cd5\u5247)"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u6a5f\u80fd\u5236\u9650\u306e\u3059\u3079\u3066\u306e\u7279\u6027 (\u307e\u305f\u306f\u6cd5\u5247) \u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306f\u3001\u7279\u306b\u95a2\u6570\u6f14\u7b97\u3067\u5236\u9650\u3092\u6271\u3046\u5834\u5408\u306b\u3001\u5236\u9650\u306e\u8a08\u7b97\u3092\u7c21\u7d20\u5316\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-propiedades-o-leyes-de-los-limites-de-funciones\"><\/span>\u6a5f\u80fd\u5236\u9650\u306e\u7279\u6027 (\u307e\u305f\u306f\u6cd5\u5247) \u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306b\u3001\u95a2\u6570\u306e\u6975\u9650\u3001\u307e\u305f\u306f\u95a2\u6570\u306e\u6975\u9650\u306e\u6cd5\u5247\u3068\u3082\u547c\u3070\u308c\u308b\u95a2\u6570\u306e\u3059\u3079\u3066\u306e\u6027\u8cea\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6982\u5ff5\u3092\u5b8c\u5168\u306b\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u5236\u9650\u306e\u5404\u30d7\u30ed\u30d1\u30c6\u30a3\u306b\u3064\u3044\u3066\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u3092\u78ba\u8a8d\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-del-limite-de-una-suma\"><\/span>\u548c\u306e\u9650\u5ea6\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\">\u3042\u308b\u70b9\u306b\u304a\u3051\u308b<strong>2 \u3064\u306e\u95a2\u6570\u306e\u5408\u8a08\u306e\u5236\u9650\u306f\u3001<\/strong>\u305d\u306e\u540c\u3058\u70b9\u306b\u304a\u3051\u308b\u5404\u95a2\u6570\u306e\u5236\u9650\u306e\u5408\u8a08\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1975fcd0e98e2022e29be694fcdb925_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to a} \\Bigl[ f(x)+g(x)\\Bigr]=\\lim_{x\\to a}f(x)+\\lim_{x\\to a}g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"310\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e 2 \u3064\u306e\u95a2\u6570\u304c\u3042\u308b\u3068\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-1730973da231e978e4c565c939633b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2\\qquad g(x)=2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> x \u304c 1 \u306b\u7b49\u3057\u3044\u3068\u304d\u306e\u5404\u95a2\u6570\u306e\u9650\u754c\u306f\u6b21\u306e\u3068\u304a\u308a\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-540347d33b8f0dc2d46cbc8d6f42df12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 1}x^2=1^2=1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"121\" 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-9e8d60234a5aaad645bcea92331ffec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 1}(2x+1)=2\\cdot1+1=3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"209\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u540c\u3058\u70b9\u306b\u8ffd\u52a0\u3055\u308c\u308b 2 \u3064\u306e\u95a2\u6570\u306e\u6975\u9650\u306f 4 (1+3=4) \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-dee2fbc7ec3a4f0a145e79c1f8bf9ae2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 1} \\Bigl[ f(x)+g(x)\\Bigr]=\\\\[3ex]\\displaystyle =\\lim_{x\\to 1}f(x)+\\lim_{x\\to 1}g(x)=\\\\[3ex]=1+3=4\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"189\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u7279\u6027\u306f\u3001\u9650\u754c\u3092\u6bb5\u968e\u7684\u306b\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u8a3c\u660e\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-14c858a555a3d57a24cc5c81adeda2fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 1} \\Bigl[ f(x)+g(x)\\Bigr]=\\\\[3ex]\\displaystyle =\\lim_{x\\to 1}\\Bigl[x^2+2x+1\\Bigr]=\\\\[3ex]=1^2+2\\cdot 1+1=4\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"117\" width=\"171\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-del-limite-de-una-resta\"><\/span>\u6e1b\u7b97\u306e\u6975\u9650\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\">\u3042\u308b\u70b9\u306b\u304a\u3051\u308b<strong>2 \u3064\u306e\u95a2\u6570\u306e\u6e1b\u7b97 (\u307e\u305f\u306f\u5dee) \u306e\u9650\u754c\u306f\u3001<\/strong>\u540c\u3058\u70b9\u306b\u304a\u3051\u308b\u5404\u95a2\u6570\u306e\u9650\u754c\u3092\u500b\u5225\u306b\u6e1b\u7b97\u3059\u308b\u3053\u3068\u3068\u540c\u7b49\u3067\u3059\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-444c20b463064780542e57269cfd770e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to a} \\Bigl[ f(x)-g(x)\\Bigr]=\\lim_{x\\to a}f(x)-\\lim_{x\\to a}g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"310\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u524d\u306e\u4f8b\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\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-1730973da231e978e4c565c939633b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2\\qquad g(x)=2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"217\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u70b9 x=3 \u306b\u304a\u3051\u308b\u5404\u95a2\u6570\u306e\u6975\u9650\u306f\u6b21\u306e\u3068\u304a\u308a\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-f37267a3dc92ccef5a66ccfb68211919_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 3}x^2=3^2=9\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"122\" 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-64b82eccca7888756f96190e6374281a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 3}(2x+1)=2\\cdot3+1=7\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"209\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001x=3 \u3067\u6e1b\u7b97\u3055\u308c\u308b 2 \u3064\u306e\u95a2\u6570\u306e\u5236\u9650\u306f\u3001\u524d\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u53d6\u5f97\u3057\u305f\u5024\u306e\u5dee\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-85e829be6e72a7ab7bd91d442c89558f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 3} \\Bigl[ f(x)-g(x)\\Bigr]=\\\\[3ex]\\displaystyle =\\lim_{x\\to 3}f(x)-\\lim_{x\\to 3}g(x)=\\\\[3ex]=9-7=2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"110\" width=\"189\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u95a2\u6570\u306e\u6e1b\u7b97\u3092\u8a08\u7b97\u3057\u3001\u6975\u9650\u3092\u89e3\u304f\u3053\u3068\u3067\u3001\u3053\u306e\u6975\u9650\u306e\u6027\u8cea\u3092\u8a3c\u660e\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-411bbd6ad4e5d44322ec93ba06fd3088_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 3} \\Bigl[ f(x)-g(x)\\Bigr]=\\\\[3ex]\\displaystyle =\\lim_{x\\to 3}\\Bigl[x^2-(2x+1)\\Bigr]=\\\\[3ex]\\displaystyle =\\lim_{x\\to 3}\\Bigl[x^2-2x-1\\Bigr]\\\\[3ex]=3^2-2\\cdot 3-1=2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"165\" width=\"185\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-de-limite-de-un-producto\"><\/span>\u88fd\u54c1\u306e\u7279\u6027\u3092\u5236\u9650\u3059\u308b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\">\u3042\u308b\u70b9\u306b\u304a\u3051\u308b<strong>2 \u3064\u306e\u95a2\u6570\u306e\u7a4d\u306e\u9650\u754c\u306f\u3001<\/strong>\u305d\u306e\u70b9\u306b\u304a\u3051\u308b\u5404\u95a2\u6570\u306e\u9650\u754c\u306e\u7a4d\u3067\u3059\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d513f66b066a53d8dbd18868f1edcaa3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to a} \\Bigl[ f(x)\\cdot g(x)\\Bigr]=\\lim_{x\\to a}f(x)\\cdot \\lim_{x\\to a}g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"292\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e 2 \u3064\u306e\u7570\u306a\u308b\u95a2\u6570\u304c\u3042\u308b\u3068\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-9c48ccc2acf27d4fb1519d80b4c0cbe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^3\\qquad g(x)=x^2-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"216\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x=2 \u306b\u304a\u3051\u308b\u5404\u95a2\u6570\u306e\u9650\u754c\u306f\u6b21\u306e\u3068\u304a\u308a\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-eb87f9cfecaec2126043e52053704c82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 2}x^3=2^3=8\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"122\" 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-c62f8966fd75151d6bdc8955458d1557_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 2}(x^2-5)=2^2-5=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"207\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u95a2\u6570\u306e\u7a4d\u306e\u6975\u9650\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u305d\u308c\u3089\u3092\u639b\u3051\u5408\u308f\u305b\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u5404\u6975\u9650\u304b\u3089\u5f97\u3089\u308c\u305f\u7d50\u679c\u3092\u639b\u3051\u5408\u308f\u305b\u308b\u3060\u3051\u3067\u5341\u5206\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-0df37e873bf968f39617b8dce74edb9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 2} \\Bigl[ f(x)\\cdot g(x)\\Bigr]=\\\\[3ex]\\displaystyle =\\lim_{x\\to 2}f(x)\\cdot \\lim_{x\\to 2}g(x)=\\\\[3ex]=8\\cdot (-1)=-8\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"115\" width=\"180\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u95a2\u6570\u306e\u4e57\u7b97\u306f\u96e3\u3057\u3044\u5834\u5408\u304c\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u306b\u3088\u308a\u6642\u9593\u3068\u8a08\u7b97\u304c\u7bc0\u7d04\u3055\u308c\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-del-limite-de-un-cociente\"><\/span>\u5546\u306e\u6975\u9650\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\"> <strong>2 \u3064\u306e\u95a2\u6570\u306e\u5546 (\u307e\u305f\u306f\u9664\u7b97) \u306e\u6975\u9650\u306f\u3001<\/strong>\u95a2\u6570\u306e\u6975\u9650\u306e\u5546\u306b\u7b49\u3057\u3044\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dbb038d24d534af7fc12466761b1206c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to a} \\left[\\frac{f(x)}{g(x)}\\right]=\\frac{\\displaystyle\\lim_{x\\to a}f(x)}{\\displaystyle\\lim_{x\\to a}g(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"181\" style=\"vertical-align: -24px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u6761\u4ef6\u306f\u3001\u5206\u6bcd\u95a2\u6570\u306e\u6975\u9650\u304c\u30bc\u30ed\u3067\u306a\u3044\u9650\u308a\u6e80\u305f\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-615afb4e193ec9b817d1672cb66f67b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to a}g(x)\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"97\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u9650\u754c\u306e\u6027\u8cea (\u307e\u305f\u306f\u6cd5\u5247) \u306e\u4f8b\u3092\u89e3\u304d\u307e\u3059\u3002\u95a2\u6570 f(x) \u3068 g(x) \u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\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-193a456033487c8b6501aa861a1b6351_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=5x-1\\qquad g(x)=3^x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"217\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001x=0 \u306b\u304a\u3051\u308b\u5404\u95a2\u6570\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-a25aaef5c60bc849e2cfe326093a82fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 0}(5x-1)=5\\cdot 0-1=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"222\" 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-40be0b69270ff2804525ec6aa35a934c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 0}3^x=3^0=1\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"121\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001x=0 \u306b\u304a\u3051\u308b 2 \u3064\u306e\u95a2\u6570\u306e\u9664\u7b97\u306e\u6975\u9650\u306f\u7c21\u5358\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\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-e8558b623352036e3af2e68e72861b96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0} \\left[\\frac{f(x)}{g(x)}\\right]=\\frac{\\displaystyle\\lim_{x\\to 0}f(x)}{\\displaystyle\\lim_{x\\to 0}g(x)}=\\displaystyle\\frac{-1}{1}=-1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"58\" width=\"278\" style=\"vertical-align: -24px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001g(x) \u306e\u6975\u9650\u306f\u30bc\u30ed\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u9069\u7528\u3057\u3066\u6975\u9650\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-del-limite-de-una-constante\"><\/span>\u5b9a\u6570\u306e\u6975\u9650\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\"><strong>\u5b9a\u6570\u95a2\u6570\u306e\u6975\u9650\u306f\u3001<\/strong>\u6975\u9650\u304c\u8a08\u7b97\u3055\u308c\u308b\u6642\u70b9\u306b\u95a2\u4fc2\u306a\u304f\u3001\u5e38\u306b\u5b9a\u6570\u81ea\u4f53\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-083ac97d4077fd32108f371887a6daef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to a} k=k\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"74\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306f\u3001\u305f\u3068\u3048\u3070\u6b21\u306e\u5b9a\u6570\u95a2\u6570\u304c\u3042\u308b\u5834\u5408\u306b\u78ba\u8a8d\u3059\u308b\u306e\u304c\u975e\u5e38\u306b\u7c21\u5358\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-e9e41bd168999d7634188ca08496465a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8ad6\u7406\u7684\u306b\u306f\u3001\u4efb\u610f\u306e\u70b9\u306b\u304a\u3051\u308b\u5b9a\u6570\u95a2\u6570\u306e\u9650\u754c\u306f 5 \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-cc495627062fe120c4fba7c649b94ea8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 0}5=5\\qquad\\qquad\\lim_{x\\to 3}5=5\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"218\" 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-bf06e3dadceb69c684be4e04205744f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to -2}5=5\\qquad\\qquad\\lim_{x\\to 7}5=5\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"229\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-del-limite-de-un-multiplo-constante\"><\/span>\u5b9a\u6570\u500d\u306e\u6975\u9650\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u7a4d\u306e\u6975\u9650\u3068\u5b9a\u6570\u306e\u6975\u9650\u306e\u6027\u8cea\u304b\u3089\u3001\u6b21\u306e\u6027\u8cea\u3092\u63a8\u5b9a\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\"><strong>\u5b9a\u6570\u3092\u639b\u3051\u305f\u95a2\u6570\u306e\u6975\u9650\u306f\u3001<\/strong>\u305d\u306e\u5b9a\u6570\u3068\u95a2\u6570\u306e\u6975\u9650\u306e\u7a4d\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e11e20d92c504cfb48a1a5c3747066f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to a}\\Bigl[ k\\cdot f(x)\\Bigr]=k\\cdot\\lim_{x\\to a}f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"214\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u4f7f\u7528\u3057\u3066\u6b21\u306e\u5236\u9650\u306e\u8a08\u7b97\u3092\u7c21\u7565\u5316\u3059\u308b\u3053\u3068\u306b\u6ce8\u76ee\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-422e706a1b7643d78c0d667e17ede188_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle \\lim_{x\\to 4} (2x^2-12x+10)=\\\\[3ex]\\displaystyle =\\lim_{x\\to 4}\\Bigl[2\\cdot(x^2-6x+5)\\Bigr]=\\\\[3ex]=\\displaystyle 2\\cdot\\lim_{x\\to 4}(x^2-6x+5)=\\\\[3ex]=2\\cdot (4^2-6\\cdot4+5)=\\\\[3ex]=2\\cdot (-3)=-6\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"206\" width=\"206\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-del-limite-de-una-potencia\"><\/span>\u529b\u306e\u9650\u754c\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\"><strong>\u95a2\u6570\u306e\u6975\u9650\u3092\u6307\u6570\u3067\u7d2f\u4e57\u3059\u308b\u3053\u3068<\/strong>\u306f\u3001\u95a2\u6570\u306e\u6975\u9650\u3092\u8a08\u7b97\u3057\u3001\u305d\u306e\u6975\u9650\u306e\u7d50\u679c\u3092\u305d\u306e\u6307\u6570\u3067\u7d2f\u4e57\u3059\u308b\u3053\u3068\u3068\u540c\u3058\u3067\u3059\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02b8185a9eca6e85f4d3e69b41b09903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to a}\\Bigl[f(x)^k\\Bigr]=\\left[\\lim_{x\\to a}f(x)\\right]^k\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"202\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u4e00\u6b21\u95a2\u6570\u306e\u6975\u9650\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-73523d73bd77b077f64d5bf05bd0444c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 6}x=6\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"74\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u4e8c\u6b21\u95a2\u6570\u306e\u6975\u9650\u306f\u3001\u4e00\u6b21\u95a2\u6570\u306e\u6975\u9650\u3092\u6c42\u3081\u3001\u305d\u306e\u7d50\u679c\u3092\u4e8c\u4e57\u3059\u308b\u3053\u3068\u3067\u8a08\u7b97\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-051ef387f34fdcc7468d761e2d618f69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 6}\\Bigl[x^2\\Bigr]=\\left[\\lim_{x\\to 6}x\\right]^2=\\bigl[6\\bigr]^2=36\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"249\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-del-limite-de-una-funcion-exponencial\"><\/span>\u6307\u6570\u95a2\u6570\u306e\u6975\u9650\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\"><strong>\u6307\u6570\u95a2\u6570\u306e\u6975\u9650\u306f\u3001<\/strong>\u95a2\u6570\u306e\u4ee3\u6570\u5f0f\u306e\u6975\u9650\u307e\u3067\u7d2f\u4e57\u3055\u308c\u305f\u95a2\u6570\u306e\u5b9a\u6570\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a2fc0c424758574c4b22a93c3e5dfdcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}\\Bigl[k^{g(x)}\\Bigr]=k^{^{\\displaystyle\\lim_{x\\to a}g(x)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"179\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u3053\u306e\u7279\u6027\u3092\u691c\u8a3c\u3059\u308b\u305f\u3081\u306b 2 \u3064\u306e\u53ef\u80fd\u306a\u65b9\u6cd5\u3067\u6307\u6570\u95a2\u6570\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-6eb8d552dbdff46188019ca7d717e5a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 1}5^{2x}=5^{2\\cdot 1}=25\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"147\" 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-1088a10d675c2a6dc332c23a362fce2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 1}5^{2x}=5^{^{\\displaystyle\\lim_{x\\to 1}2x}}=5^{2\\cdot 1}=25\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"232\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-del-limite-de-una-potencia-de-funciones\"><\/span>\u95a2\u6570\u306e\u3079\u304d\u4e57\u306e\u6975\u9650\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\"><strong>\u5225\u306e\u95a2\u6570\u306b\u5bfe\u3057\u3066\u30ec\u30a4\u30ba\u3055\u308c\u305f\u95a2\u6570\u306e\u5236\u9650\u306f\u3001<\/strong>\u6700\u521d\u306e\u95a2\u6570\u306e\u5236\u9650\u304b\u3089 2 \u756a\u76ee\u306e\u95a2\u6570\u306e\u5236\u9650\u307e\u3067\u30ec\u30a4\u30ba\u3055\u308c\u305f\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-11395cf067e1c7ff75ae68090bec8d16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to a}\\Bigl[f(x)^{g(x)}\\Bigr]=\\left[\\lim_{x\\to a}f(x)\\right]^{\\displaystyle\\lim_{x\\to a}g(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"277\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4f8b\u3068\u3057\u3066\u3001\u3053\u306e\u6cd5\u5247\u3092\u9069\u7528\u3057\u3066\u6b21\u306e\u5236\u9650\u3092\u6c7a\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-88cf4a1a6c04abab530e67f4f0ca950d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 2}\\Bigl[(x^2-4x)^{4x-5}\\Bigr]=\\\\[3ex]\\displaystyle =\\left[\\lim_{x\\to 2}(x^2-4x)\\right]^{\\displaystyle\\lim_{x\\to 2}(4x-5)}=\\\\[3ex]=\\displaystyle (2^2-4\\cdot 2)^{4\\cdot 2-5}=\\\\[3ex]=(-4)^3=-64\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"247\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-del-limite-de-una-funcion-irracional\"><\/span>\u7121\u7406\u95a2\u6570\u306e\u6975\u9650\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\"><strong>\u30eb\u30fc\u30c8 (\u307e\u305f\u306f\u30e9\u30b8\u30ab\u30eb) \u306e\u6975\u9650\u306f\u3001<\/strong>\u6975\u9650\u306e\u30eb\u30fc\u30c8\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2cdf7e1a72f2441f72240f068edc413e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}\\sqrt[n]{f(x)}=\\sqrt[n]{\\lim_{x\\to a}f(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"197\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u4f7f\u7528\u3059\u308b\u306b\u306f\u3001\u30eb\u30fc\u30c8 \u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u304c\u5076\u6570\u306e\u5834\u5408\u3001\u95a2\u6570\u306e\u5236\u9650\u306f 0 \u4ee5\u4e0a\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3053\u3068\u306b\u7559\u610f\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-31077c9693c2318fba7cb2f0f99d5efd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{si } n \\text{ es par} \\ \\longrightarrow \\ \\displaystyle\\lim_{x\\to a}f(x)\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"230\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5f0f\u3092\u9069\u7528\u3057\u3066\u6b21\u306e\u5236\u9650\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u305f\u304b\u306b\u6ce8\u76ee\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-ad822bfcdd6fbb0335e1d99db71776c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 4}\\sqrt[3]{\\frac{x^2}{2}}=\\sqrt[3]{\\lim_{x\\to 4}\\frac{x^2}{2}}=\\sqrt[3]{\\frac{4^2}{2}}=\\sqrt[3]{8}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"310\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-del-limite-de-una-funcion-logaritmica\"><\/span>\u5bfe\u6570\u95a2\u6570\u306e\u6975\u9650\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p style=\"text-align:left\"><strong>\u5bfe\u6570\u306e\u9650\u754c\u306f\u3001<\/strong>\u9650\u754c\u306e\u540c\u3058\u5e95\u306e\u5bfe\u6570\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e34ee6ca0162d42714f0c8f3e245b14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}\\Bigl[\\log_k f(x)\\Bigr]=\\log_k \\left[\\lim_{x\\to a}f(x)\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"252\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u9069\u7528\u3057\u305f\u6b21\u306e\u5236\u9650\u306e\u89e3\u6c7a\u3092\u898b\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-fc5468c73e74d00d2ffeb2293ea8145e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to -4}\\Bigl[\\log_3 (x^2-2x+3)\\Bigr]=\\\\[3ex]=\\displaystyle\\log_3 \\left[\\lim_{x\\to -4}(x^2-2x+3)\\right]=\\\\[4ex]=\\displaystyle\\log_3\\bigl[(-4)^2-2\\cdot (-4)+3\\bigr]=\\\\[3ex]=\\displaystyle\\log_3 27=3\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"177\" width=\"236\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u6a5f\u80fd\u5236\u9650\u306e\u3059\u3079\u3066\u306e\u7279\u6027 (\u307e\u305f\u306f\u6cd5\u5247) \u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306f\u3001\u7279\u306b\u95a2\u6570\u6f14\u7b97\u3067\u5236\u9650\u3092\u6271\u3046\u5834\u5408\u306b\u3001\u5236\u9650\u306e\u8a08\u7b97\u3092\u7c21\u7d20\u5316\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002 \u6a5f\u80fd\u5236\u9650\u306e\u7279\u6027 (\u307e\u305f\u306f\u6cd5\u5247) \u306f\u4f55\u3067\u3059\u304b? \u6b21\u306b\u3001\u95a2\u6570\u306e\u6975 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e7%89%b9%e6%80%a7%e3%81%ae%e9%99%90%e7%95%8c%e3%81%ae%e6%b3%95%e5%89%87\/\"> <span class=\"screen-reader-text\">\u9650\u754c\u306e\u6027\u8cea (\u307e\u305f\u306f\u6cd5\u5247)<\/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-17","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized 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