{"id":20,"date":"2023-09-17T11:08:12","date_gmt":"2023-09-17T11:08:12","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e3%81%ae%e7%a8%ae%e9%a1%9e-%e4%b8%8d%e7%a2%ba%e5%ae%9a%e3%81%ae%e9%99%90%e7%95%8c\/"},"modified":"2023-09-17T11:08:12","modified_gmt":"2023-09-17T11:08:12","slug":"%e4%b8%8d%e7%a2%ba%e5%ae%9a%e3%81%ae%e7%a8%ae%e9%a1%9e-%e4%b8%8d%e7%a2%ba%e5%ae%9a%e3%81%ae%e9%99%90%e7%95%8c","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e3%81%ae%e7%a8%ae%e9%a1%9e-%e4%b8%8d%e7%a2%ba%e5%ae%9a%e3%81%ae%e9%99%90%e7%95%8c\/","title":{"rendered":"\u4e0d\u78ba\u5b9a\u306e\u7a2e\u985e\uff08\u4e0d\u78ba\u5b9a\u9650\u754c\uff09"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u4e0d\u78ba\u5b9a\u6027\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3042\u3089\u3086\u308b\u7a2e\u985e\u306e\u4e0d\u78ba\u5b9f\u6027\u3068\u306f\u4f55\u304b\u3001\u305d\u3057\u3066\u305d\u308c\u3089\u3092\u89e3\u6c7a\u3059\u308b\u65b9\u6cd5\u3092\u767a\u898b\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3059\u3079\u3066\u306e\u4e0d\u78ba\u5b9a\u6027\u306e\u95a2\u6570\u6975\u9650\u306b\u3064\u3044\u3066\u6bb5\u968e\u7684\u306b\u89e3\u304b\u308c\u305f\u6f14\u7fd2\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-indeterminaciones\"><\/span>\u4e0d\u78ba\u5b9a\u6027\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4e0d\u5b9a\u5f62\u5f0f\u3068\u3082\u547c\u3070\u308c\u308b\u4e0d\u5b9a\u306f\u3001\u7d50\u679c\u304c\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u306a\u3044\u95a2\u6570\u306e\u6975\u9650\u306e\u8a08\u7b97\u306b\u73fe\u308c\u308b\u6570\u5f0f\u3067\u3059\u3002<\/strong>\u3057\u305f\u304c\u3063\u3066\u3001\u5236\u9650\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u95a2\u6570\u306e\u7a2e\u985e\u306b\u5fdc\u3058\u305f\u4e8b\u524d\u624b\u9806\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001\u4e0d\u78ba\u5b9a\u6027\u304c\u751f\u3058\u305f\u5834\u5408\u3001\u305d\u308c\u306f\u6975\u9650\u304c\u5b58\u5728\u3057\u306a\u3044\u3001\u307e\u305f\u306f\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u3080\u3057\u308d\u3001\u6975\u9650\u306e\u89e3\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u95a2\u6570\u3092\u5909\u66f4\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-indeterminaciones\"><\/span>\u4e0d\u78ba\u5b9a\u306e\u7a2e\u985e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e0d\u78ba\u5b9a\u307e\u305f\u306f\u4e0d\u78ba\u5b9a\u5f62\u5f0f\u306f\u3001\u6b21\u306e\u30bf\u30a4\u30d7\u306b\u5206\u985e\u3055\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u5927\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927<\/strong>(\u221e-\u221e)<\/li>\n<li><strong>\u30bc\u30ed\u9593\u306e\u4e0d\u78ba\u5b9a\u6027\u306e\u6570<\/strong>(k\/\u221e)<\/li>\n<li><strong>\u30bc\u30ed\u9593\u306e\u30bc\u30ed\u4e0d\u78ba\u5b9a\u6027<\/strong>(0\/0)<\/li>\n<li><strong>\u7121\u9650\u9593\u306e\u7121\u9650\u4e0d\u78ba\u5b9a\u6027<\/strong>(\u221e\/\u221e)<\/li>\n<li><strong>\u4e0d\u78ba\u5b9a\u6027 1 \u3092\u7121\u9650\u5927\u307e\u3067\u5f15\u304d\u4e0a\u3052\u305f<\/strong>(1 <sup>\u221e<\/sup> )<\/li>\n<li><strong>\u30bc\u30ed\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u30bc\u30ed\u306b\u5f15\u304d\u4e0a\u3052\u307e\u3059<\/strong>(0 <sup>0<\/sup> )<\/li>\n<li> <strong style=\"font-family: -apple-system, BlinkMacSystemFont, &quot;Segoe UI&quot;, Roboto, Oxygen-Sans, Ubuntu, Cantarell, &quot;Helvetica Neue&quot;, sans-serif; font-size: 1rem;\">\u7121\u9650\u5927\u306b\u5bfe\u3059\u308b\u30bc\u30ed\u4e0d\u78ba\u5b9a\u6027<\/strong><span style=\"font-family: -apple-system, BlinkMacSystemFont, &quot;Segoe UI&quot;, Roboto, Oxygen-Sans, Ubuntu, Cantarell, &quot;Helvetica Neue&quot;, sans-serif; font-size: 1rem; font-weight: inherit;\">(0\u30fb\u221e)<\/span><\/li>\n<li>\u30bc\u30ed\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u7121\u9650\u5927 (0 <sup>\u221e<\/sup> )<strong>\u306b\u5f15\u304d\u4e0a\u3052\u305f\u3082\u306e<\/strong><\/li>\n<li><strong>\u7121\u9650\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u30bc\u30ed<\/strong>(\u221e <sup>0<\/sup> )<\/li>\n<\/ul>\n<p>\u6b21\u306b\u3001\u3042\u3089\u3086\u308b\u7a2e\u985e\u306e\u4e0d\u78ba\u5b9a\u4e8b\u9805\u3092\u89e3\u6c7a\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-menos-infinito\"><\/span>\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u4e0d\u78ba\u5b9a\u6027<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u4e0d\u5b9a\u5f62\u5f0f\u306e\u7121\u9650\u5927\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u306f<\/strong>\u30012 \u3064\u306e\u975e\u5e38\u306b\u5927\u304d\u306a\u6570\u3092\u5f15\u304d\u7b97\u3057\u307e\u3059\u304c\u3001\u3069\u3061\u3089\u304c\u5927\u304d\u3044\u304b\u308f\u304b\u3089\u306a\u3044\u305f\u3081\u3001\u30bc\u30ed\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7121\u9650\u5927\u306e\u5dee\u306e\u7d50\u679c\u306f\u3001\u5404\u7121\u9650\u5927\u306e\u6b21\u6570\u306b\u4f9d\u5b58\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-03349653243a9ad62377c721fea0e797_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\infty-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u95a2\u6570\u306e\u30bf\u30a4\u30d7\u306b\u5fdc\u3058\u3066\u3001\u4f55\u3089\u304b\u306e\u624b\u9806\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u6c7a\u3059\u308b\u306e\u306f\u7c21\u5358\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u30ea\u30f3\u30af\u3067\u5b8c\u5168\u306a\u8aac\u660e\u3092\u53c2\u7167\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\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\u78ba\u5b9a\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650-%e2%88%9e-%e2%88%9e\/\">\u7121\u9650\u5927\u304b\u3089\u7121\u9650\u5927\u3092\u5f15\u3044\u305f\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u304f\u65b9\u6cd5<\/a><\/span><\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-numero-entre-cero\"><\/span>\u30bc\u30ed\u9593\u306e\u4e0d\u78ba\u5b9a\u6027\u306e\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5b9a\u6570\u3092\u30bc\u30ed\u3067\u5272\u3063\u305f\u4e0d\u5b9a\u6027\u306f\u3001<\/strong>\u6709\u7406\u95a2\u6570\u306e\u5206\u6bcd\u3092\u30ad\u30e3\u30f3\u30bb\u30eb\u3059\u308b\u3068\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d550f72be2a531eb89d5cf200f54dc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"10\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u5b9a\u5f62\u5f0f\u306e\u7d50\u679c\u306f\u5e38\u306b\u7121\u9650\u5927\u306b\u306a\u308b\u304b\u3001\u7121\u9650\u5927\u306b\u306a\u3089\u306a\u3044\u304b\u3001\u95a2\u6570\u306e\u6975\u9650\u304c\u5b58\u5728\u3057\u307e\u305b\u3093\u3002\u4f8b\u3068\u3057\u3066\u6975\u9650\u3092\u89e3\u304f\u3053\u3068\u3067\u3001\u3053\u306e\u4e0d\u78ba\u5b9a\u6027\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u898b\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-f20a823489187682e3becf93cbd93c7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\cfrac{-4}{x^2}=\\cfrac{-4}{0^2}=\\cfrac{-4}{0}=\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"217\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u30bc\u30ed\u3067\u5272\u3063\u305f\u6570\u5024\u306e\u4e0d\u78ba\u5b9a\u6027\u304c\u5f97\u3089\u308c\u305f<u style=\"text-decoration-color:#FF9B28;\">\u306e\u3067\u3001\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u6975\u9650\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/u><\/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-84821ecfa11641959a1463c3f2dd00e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0^-}\\cfrac{-4}{0^2}=\\cfrac{-4}{(-0,001)^2}=\\cfrac{-4}{+0}=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"289\" style=\"vertical-align: -17px;\"><\/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-904f4d1bb401493cdb76cbb9ce607f0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0^+}\\cfrac{-4}{0^2}=\\cfrac{-4}{0,001^2}=\\cfrac{-4}{+0}=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"261\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u6a2a\u65b9\u5411\u306e\u9650\u754c\/\">\u6a2a\u65b9\u5411\u306e\u5236\u9650\u3068\u306f\u4f55\u3067\u3059\u304b?<\/a><\/span><\/p>\n<p>\u95a2\u6570\u306e 2 \u3064\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u306f\u540c\u3058\u7d50\u679c\u3092\u4e0e\u3048\u308b\u305f\u3081\u3001\u5b9a\u7fa9\u306b\u3088\u308a\u3001x \u304c 0 \u306b\u8fd1\u3065\u304f\u50be\u5411\u304c\u3042\u308b\u3068\u304d\u306e\u95a2\u6570\u306e\u9650\u754c\u306f\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u3092\u4e0e\u3048\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-9c1b718f44360fe4322ba69ee40c9613_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0^-}f(x)=\\lim_{x\\to 0^+}f(x)=-\\infty \\ \\longrightarrow \\ \\lim_{x\\to 0}f(x)=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"401\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u6a2a\u65b9\u5411\u306e\u9650\u754c\u304c\u7570\u306a\u308b\u5024\u3092\u6307\u5b9a\u3057\u3066\u3044\u305f\u5834\u5408\u3001\u3053\u306e\u6642\u70b9\u3067\u306e\u95a2\u6570\u306e\u9650\u754c\u306f\u5b58\u5728\u3057\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-cero-entre-cero\"><\/span>\u30bc\u30ed\u9593\u306e\u4e0d\u78ba\u5b9a\u6027<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u4e0d\u5b9a\u6975\u9650\u306e\u30bc\u30ed\u3092\u30bc\u30ed\u3067\u5272\u3063\u305f\u3082\u306e\u306f<\/strong>\u975e\u5e38\u306b\u4e00\u822c\u7684\u3067\u3001\u5206\u5b50\u3068\u5206\u6bcd\u304c\u76f8\u6bba\u3055\u308c\u308b\u5206\u6570\u3092\u3082\u3064\u95a2\u6570\u3067\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f88512bac0562399d5d8e65829073b54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"9\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u5b9a\u5236\u9650\u306f\u3001\u95a2\u6570\u306b\u5fdc\u3058\u3066\u7570\u306a\u308b\u65b9\u6cd5\u3067\u89e3\u6c7a\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u95a2\u6570\u306b\u30eb\u30fc\u30c8\u304c\u3042\u308b\u5834\u5408\u306f\u3001\u5225\u306e\u624b\u9806\u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6b21\u306e\u30ea\u30f3\u30af\u3067\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u78ba\u5b9a\u6027\u306e\u3055\u307e\u3056\u307e\u306a\u89e3\u6c7a\u7b56\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\/\u30bb\u3099\u30ed\u9593\u306e\u30bb\u3099\u30ed-0-0-\u4e0d\u5b9a\/\">\u30bc\u30ed\u9593\u306e\u30bc\u30ed\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u6c7a\u3059\u308b\u65b9\u6cd5<\/a><\/span><\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-entre-infinito\"><\/span>\u7121\u9650\u306e\u9593\u306e\u7121\u9650\u306e\u4e0d\u78ba\u5b9a\u6027<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u7121\u9650\u9593\u306e\u7121\u9650\u4e0d\u78ba\u5b9a\u306f\u3001<\/strong>\u901a\u5e38\u3001\u5206\u6570\u3092\u542b\u3080\u95a2\u6570\u306e\u7121\u9650\u6975\u9650\u3067\u767a\u751f\u3057\u307e\u3059\u3002\u4e0d\u78ba\u5b9a\u6027\u306f 2 \u3064\u306e\u7121\u9650\u5927\u306e\u5546\u3067\u3059\u304c\u3001\u7d50\u679c\u306f\u5fc5\u305a\u3057\u3082\u7121\u9650\u5927\u3067\u3042\u308b\u5fc5\u8981\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-5322af410095265a81aa545e533ebd1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\infty}{\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"18\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u5b9a\u5f62\u306f\u6bd4\u8f03\u306b\u3088\u3063\u3066\u89e3\u6c7a\u3055\u308c\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u5206\u5b50\u306e\u6b21\u6570\u3068\u5206\u6bcd\u306e\u6b21\u6570\u304c\u89b3\u5bdf\u3055\u308c\u3001\u3069\u3061\u3089\u304c\u5927\u304d\u3044\u304b\u306b\u3088\u3063\u3066\u3001\u6975\u9650\u7d50\u679c\u306f\u3069\u3061\u3089\u304b\u306b\u306a\u308a\u307e\u3059\u3002\u6b21\u306e\u30ea\u30f3\u30af\u3067\u3059\u3079\u3066\u306e\u30b1\u30fc\u30b9\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\">\u7121\u9650\u9593\u306e\u7121\u9650\u9650\u754c\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u3044\u305f<\/a><\/span><\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-1-elevado-a-infinito\"><\/span>\u4e0d\u78ba\u5b9a\u6027 1 \u3092\u7121\u9650\u5927\u307e\u3067\u5f15\u304d\u4e0a\u3052\u308b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u6570\u5b66\u7684\u306b\u306f\u3001 <strong>1 \u306e\u7d2f\u4e57\u306f<\/strong>1 \u306b\u7b49\u3057\u3044\u305f\u3081\u30011 \u304b\u3089\u7121\u9650\u5927\u307e\u3067\u306f 1 \u306b\u306a\u308b\u3068\u8003\u3048\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u3053\u306e\u9805\u306f\u4e0d\u78ba\u5b9a\u6027\u3067\u3042\u308b\u305f\u3081\u3001\u305d\u306e\u7d50\u679c\u3092\u305d\u308c\u307b\u3069\u7c21\u5358\u306b\u63a8\u6e2c\u3059\u308b\u3053\u3068\u306f\u3067\u304d\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-f68a3b617b5f1db37a9beea43e15264f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1^{\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u78ba\u5b9a\u6027\u306f\u3001\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3057\u3066\u8a08\u7b97\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-e6bc13731241df168c3dc37d3e3b8e58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to+\\infty}f(x)^{g(x)}=\\lim_{x\\to+\\infty}e^{g(x)\\cdot [f(x)-1]}\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"271\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u5236\u9650\u306f\u7121\u9650\u306e\u529b\u3092\u4e0e\u3048\u308b\u305f\u3081\u4e0d\u5b9a\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-96004b3ff4fd888f2e7fbc30a14abf13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to+\\infty}\\left(1-\\frac{1}{x}\\right)^x=\\left(1-\\frac{1}{+\\infty}\\right)^{+\\infty}=(1-0)^{+\\infty}=1^{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"428\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u78ba\u5b9a\u306b\u306f\u6b21\u306e\u516c\u5f0f\u3092\u4f7f\u7528\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-e577daa5f0e768ca16bfe27a4d7a8a85_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to+\\infty}e^{x\\cdot\\left[1-\\frac{1}{x}-1\\right]}=\\lim_{x\\to+\\infty}e^{x\\cdot\\left[-\\frac{1}{x}\\right]}=\\lim_{x\\to+\\infty}e^{-1}=\\frac{1}{e}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"383\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7121\u9650\u306b\u5f15\u304d\u4e0a\u3052\u3089\u308c\u305f\u4e0d\u5b9a\u306e\u5236\u9650\u306f\u3059\u3067\u306b\u89e3\u6c7a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-cero-elevado-a-cero\"><\/span>\u30bc\u30ed\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u30bc\u30ed\u306b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u30bc\u30ed\u4e57\u306e\u4e0d\u78ba\u5b9a\u6027\u306f\u3001<\/strong>\u8907\u96d1\u306a\u95a2\u6570\u306e\u7bc4\u56f2\u5185\u3067\u73fe\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-dfc1e32d3dc765b27701a8576e765fc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0^0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u78ba\u5b9a\u306a\u5236\u9650\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u5236\u9650\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u4f7f\u7528\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-56b621d520e28cf2dbcd93bcd5d35eb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}f(x)^{g(x)}=e^{^{\\displaystyle\\lim_{x\\to a}g(x)\\cdot \\ln\\bigl(f(x)\\bigr)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"266\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u5236\u9650\u306f\u3001\u4e0d\u5b9a\u5f62\u5f0f\u306e 0 \u306e 0 \u4e57\u3092\u4e0e\u3048\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-d8680b80b19cae955169d2c0a8ad41f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\left(\\frac{1}{x}\\right)^{\\frac{1}{x}}=\\left(\\frac{1}{+\\infty}\\right)^{\\frac{1}{+\\infty}}=0^0\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"251\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u3057\u304b\u3057\u3001\u5236\u9650\u306b\u5bfe\u6570\u3092\u9069\u7528\u3059\u308b\u3068\u3001\u305d\u306e\u5024\u3092\u898b\u3064\u3051\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-04165b15f4b40bbe84ae5a4b214d4846_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to +\\infty}\\left(\\frac{1}{x}\\right)^{\\frac{1}{x}}=e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{1}{x}\\cdot \\ln\\left(\\frac{1}{x}\\right)}}=\\\\[5ex]\\displaystyle =e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\ln\\left(\\frac{1}{x}\\right)}{x}}}=e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\ln1-\\ln x}{x}}}=\\\\[5ex]=\\displaystyle e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{-\\ln x}{x}}}=e^{^{\\displaystyle\\frac{-\\infty}{+\\infty}}}=e^0=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"239\" width=\"307\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-cero-por-infinito\"><\/span>\u7121\u9650\u306b\u5bfe\u3059\u308b\u30bc\u30ed\u306e\u4e0d\u78ba\u5b9a\u6027<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u30bc\u30ed\u3068\u7121\u9650\u5927\u306e\u7a4d\u306e\u4e0d\u78ba\u5b9a\u6027\u306b<\/strong>\u906d\u9047\u3059\u308b\u306e\u306f\u56f0\u96e3\u3067\u3059\u304c\u3001\u305d\u308c\u3092\u6c7a\u5b9a\u3059\u308b\u306e\u304c\u7c21\u5358\u3067\u3042\u308b\u3068\u3044\u3046\u610f\u5473\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-74b7fdba8e0feae988551f83341ec063_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0\\cdot \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"39\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u6c7a\u3059\u308b\u552f\u4e00\u306e\u65b9\u6cd5\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u95a2\u6570\u306e\u30bf\u30a4\u30d7\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u95a2\u6570\u3092\u7121\u9650\u4e0d\u78ba\u5b9a\u6027\u3092\u7121\u9650\u3067\u5272\u3063\u305f\u3082\u306e\u3001\u307e\u305f\u306f\u30bc\u30ed\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u30bc\u30ed\u3067\u5272\u3063\u305f\u3082\u306e\u306b\u5909\u63db\u3057\u3001\u305d\u3053\u304b\u3089\u5404\u4e0d\u78ba\u5b9a\u6027\u306b\u5bfe\u3057\u3066\u4e0a\u3067\u898b\u305f\u89e3\u6cd5\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30011 \u3064\u306e\u95a2\u6570\u306e\u9650\u754c\u304c 0 \u3067\u3001\u3082\u3046 1 \u3064\u306e\u95a2\u6570\u306e\u9650\u754c\u304c \u221e \u306e\u5834\u5408\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-ac028c501a7835fdfa3bab5c769849b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}f(x)=0\\qquad\\lim_{x\\to a}g(x)=\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"243\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6b21\u306e\u5909\u66f4\u3092\u52a0\u3048\u308b\u3053\u3068\u3067\u3001\u3053\u306e\u578b\u3092\u7121\u671f\u9650\u306b\u5909\u63db\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-df402461269ae26c30768fc0bf83f2ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}f(x)\\cdot g(x)\\begin{cases}\\displaystyle\\lim_{x\\to a}\\frac{f(x)}{\\displaystyle\\frac{1}{g(x)}}=\\frac{0}{0}\\\\[10ex]\\displaystyle\\lim_{x\\to a}\\frac{g(x)}{\\displaystyle\\frac{1}{f(x)}}=\\frac{\\infty}{\\infty}\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"174\" width=\"248\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u4e0d\u5b9a\u306e\u5236\u9650\u3092\u89e3\u6c7a\u3059\u308b\u3053\u3068\u3067\u3053\u308c\u3092\u884c\u3046\u65b9\u6cd5\u3092\u898b\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-929e74562ababa44a253522d4474afad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}e^{-x}\\cdot x=e^{-\\infty}\\cdot (+\\infty)=0\\cdot \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"277\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u95a2\u6570\u3092\u64cd\u4f5c\u3057\u3066\u7121\u9650\u5927\u306b\u308f\u305f\u308b\u7121\u9650\u4e0d\u78ba\u5b9a\u6027\u3092\u53d6\u5f97\u3057\u3001\u6975\u9650\u3092\u898b\u3064\u3051\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-3c29bbb439514449cd12fd8d66e327af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to +\\infty}e^{-x}\\cdot x=\\lim_{x\\to +\\infty}\\frac{x}{\\displaystyle\\frac{1}{e^{-x}}}=\\\\[6ex]=\\displaystyle \\lim_{x\\to +\\infty}\\frac{x}{e^x}=\\frac{+\\infty}{e^{+\\infty}}=\\frac{+\\infty}{+\\infty}=0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"241\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-cero-elevado-a-infinito\"><\/span>\u30bc\u30ed\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u7121\u9650\u5927\u307e\u3067\u62e1\u5f35<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u975e\u5e38\u306b\u5c0f\u3055\u306a\u6570\u3092\u975e\u5e38\u306b\u5927\u304d\u306a\u6570\u306b\u7d2f\u4e57<strong>\u3059\u308b\u306e\u3067\u3001\u4e0d\u5b9a\u6027\u30bc\u30ed\u3092<\/strong>\u7121\u9650\u306b\u7d2f\u4e57\u3059\u308b\u3053\u3068\u306f\u5c11\u3057\u7406\u89e3\u3057\u306b\u304f\u3044\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-4894b918853d6dca8db65a026b1a349b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0^{\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"22\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u308c\u3089\u306e\u4e0d\u5b9a\u5f62\u304c\u5f97\u3089\u308c\u308b\u5834\u5408\u306f\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\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-56b621d520e28cf2dbcd93bcd5d35eb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}f(x)^{g(x)}=e^{^{\\displaystyle\\lim_{x\\to a}g(x)\\cdot \\ln\\bigl(f(x)\\bigr)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"266\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u4f8b\u3092\u89e3\u3044\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-6ca354428ea8889a956a9b77b04a088f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0^+}x^{\\frac{1}{x}}=e^{^{\\displaystyle\\lim_{x\\to 0^+}\\frac{1}{x}\\cdot \\ln(x)}}=\\\\[3.5ex]\\displaystyle =e^{^{\\displaystyle\\frac{1}{0^+}\\cdot \\ln(0^+)}}=e^{+\\infty\\cdot (-\\infty)}\\\\[3ex]\\displaystyle =e^{-\\infty}=\\frac{1}{e^{+\\infty}}=0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"190\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-elevado-a-cero\"><\/span>\u7121\u9650\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u30bc\u30ed\u306b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u901a\u5e38\u3001\u30bc\u30ed\u306b\u7d2f\u4e57\u3059\u308b\u3068 1 \u306b\u306a\u308a\u307e\u3059\u304c\u3001<strong>\u30bc\u30ed\u306b\u7d2f\u4e57\u3057\u305f\u7121\u9650\u5927\u306e\u4e0d\u78ba\u5b9a\u6027\u306f<\/strong>\u5fc5\u305a\u3057\u3082\u3053\u306e\u3088\u3046\u306b\u3059\u308b\u5fc5\u8981\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-4a2ef9259a35e0e2f7a176bcdb934ad9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\infty^0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"25\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u30bc\u30ed\u3092\u30bc\u30ed\u306b\u7d2f\u4e57\u3057\u305f\u308a\u3001\u30bc\u30ed\u3092\u7121\u9650\u306b\u7d2f\u4e57\u3057\u305f\u308a\u3059\u308b\u4e0d\u5b9a\u306e\u5834\u5408\u3068\u540c\u69d8\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u5b9a\u9650\u754c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u5bfe\u6570\u3092\u9069\u7528\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-56b621d520e28cf2dbcd93bcd5d35eb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to a}f(x)^{g(x)}=e^{^{\\displaystyle\\lim_{x\\to a}g(x)\\cdot \\ln\\bigl(f(x)\\bigr)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"266\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u4f8b\u3092\u6bb5\u968e\u7684\u306b\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4e0d\u78ba\u5b9a\u306a\u5236\u9650\u304c\u3069\u306e\u3088\u3046\u306b\u89e3\u6c7a\u3055\u308c\u308b\u304b\u3092\u898b\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-a45090015a206189aca3884f8b2cab30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to +\\infty}x^{\\frac{1}{x}}=e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{1}{x}\\cdot \\ln(x)}}=\\\\[3ex]\\displaystyle =e^{^{\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\ln(x)}{x}}}=e^{^{\\displaystyle\\frac{\\ln(+\\infty)}{+\\infty}}}=\\\\[3ex]\\displaystyle =e^{^{\\displaystyle\\frac{+\\infty}{+\\infty}}}=e^0=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"199\" width=\"236\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u4e0d\u78ba\u5b9a\u6027\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3042\u3089\u3086\u308b\u7a2e\u985e\u306e\u4e0d\u78ba\u5b9f\u6027\u3068\u306f\u4f55\u304b\u3001\u305d\u3057\u3066\u305d\u308c\u3089\u3092\u89e3\u6c7a\u3059\u308b\u65b9\u6cd5\u3092\u767a\u898b\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3059\u3079\u3066\u306e\u4e0d\u78ba\u5b9a\u6027\u306e\u95a2\u6570\u6975\u9650\u306b\u3064\u3044\u3066\u6bb5\u968e\u7684\u306b\u89e3\u304b\u308c\u305f\u6f14\u7fd2\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u4e0d\u78ba\u5b9a\u6027\u3068\u306f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e3%81%ae%e7%a8%ae%e9%a1%9e-%e4%b8%8d%e7%a2%ba%e5%ae%9a%e3%81%ae%e9%99%90%e7%95%8c\/\"> <span class=\"screen-reader-text\">\u4e0d\u78ba\u5b9a\u306e\u7a2e\u985e\uff08\u4e0d\u78ba\u5b9a\u9650\u754c\uff09<\/span> \u3082\u3063\u3068\u8aad\u3080 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