{"id":374,"date":"2023-07-04T04:08:40","date_gmt":"2023-07-04T04:08:40","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/"},"modified":"2023-07-04T04:08:40","modified_gmt":"2023-07-04T04:08:40","slug":"%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/","title":{"rendered":"\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e)"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650(\u221e-\u221e)\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u307e\u3056\u307e\u306a\u30bf\u30a4\u30d7\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u3053\u306e\u4e0d\u78ba\u5b9a\u6027\u306e\u4f8b\u304c\u898b\u3064\u304b\u308a\u3001\u3055\u3089\u306b\u3001\u4e0d\u78ba\u5b9a\u6027\u306e\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u7df4\u7fd2\u554f\u984c\u3092\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"resolver-la-indeterminacion-infinito-menos-infinito\"><\/span>\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u3092\u89e3\u304f\u4e0d\u78ba\u5b9a\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u95a2\u6570\u306e\u6975\u9650\u304c\u7121\u9650\u5927\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u3068\u306a\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u4e0d\u78ba\u5b9a\u6027\uff08\u307e\u305f\u306f\u4e0d\u78ba\u5b9a\u5f62\u5f0f\uff09\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3064\u307e\u308a<strong>\u3001\u4e0d\u5b9a\u6027\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u3092\u4e0e\u3048\u308b\u95a2\u6570\u306e\u6975\u9650\u306f\u3001<\/strong>\u76f4\u63a5\u8a08\u7b97\u3092\u5b9f\u884c\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u305a\u3001\u3080\u3057\u308d\u4e88\u5099\u7684\u306a\u624b\u9806\u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001<\/strong>\u307e\u305a\u95a2\u6570\u306e\u7a2e\u985e\u306b\u5fdc\u3058\u305f\u624b\u9806\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u591a\u9805\u5f0f\u95a2\u6570\u306e\u5834\u5408\u306f\u6bd4\u8f03\u306b\u3088\u3063\u3066\u8a08\u7b97\u3067\u304d\u3001\u6709\u7406\u95a2\u6570\u306e\u5834\u5408\u306f\u5206\u6570\u3092\u6b21\u306e\u3088\u3046\u306b\u63db\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5171\u901a\u306e\u5206\u6bcd\u3067\u3042\u308a\u3001\u305d\u308c\u304c\u7121\u7406\u95a2\u6570\u3067\u3042\u308b\u5834\u5408\u306f\u3001\u5171\u5f79\u3092\u4e57\u7b97\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-b1bfc56d2079c86e8ad6e1943311b730_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to+\\infty}\\Bigl(f(x)-g(x)\\Bigr)=\\infty-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"236\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u306e\u4e0d\u5b9a\u6027\u304c\u5404\u30bf\u30a4\u30d7\u306e\u95a2\u6570\u3067\u3069\u306e\u3088\u3046\u306b\u89e3\u6c7a\u3055\u308c\u308b\u304b\u3092\u4f8b\u3092\u4f7f\u3063\u3066\u898b\u3066\u3044\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-menos-infinito-en-funciones-polinomicas\"><\/span>\u591a\u9805\u5f0f\u95a2\u6570\u306b\u304a\u3051\u308b\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u306e\u4e0d\u78ba\u5b9a\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\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\">\u591a\u9805\u5f0f\u3067\u306f\u3001\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u5927\u304b\u3089\u7121\u9650\u5927\u3092\u5f15\u3044\u305f\u3082\u306e\u304c\u6700\u9ad8\u6b21\u6570\u306e\u7121\u9650\u5927\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6700\u9ad8\u6b21\u6570\u306e\u9805\u304c\u7121\u9650\u5927\u306e\u6b63\u8ca0\u306e\u7b26\u53f7\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<p>\u305f\u3068\u3048\u3070\u3001\u7121\u9650\u5f62\u5f0f\u304b\u3089\u7121\u9650\u5927\u3092\u5f15\u3044\u305f\u4e0d\u5b9a\u5f62\u3092\u4e0e\u3048\u308b\u6b21\u306e\u591a\u9805\u5f0f\u95a2\u6570\u306e\u6975\u9650\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-f61115731d29dc9f05941968417c9443_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to+\\infty}\\bigl(x^2-3x\\bigr)=(+\\infty)^2-3\\cdot (\\infty)=+\\infty-\\infty=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"421\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u9805 x <sup>2<\/sup>\u306f 2 \u6b21\u3067\u3042\u308a\u3001\u9805 3x \u306f 1 \u6b21\u3067\u3042\u308b\u305f\u3081\u3001\u5358\u9805\u5f0f x <sup>2<\/sup>\u306f\u9ad8\u6b21\u3067\u3042\u308b\u305f\u3081\u652f\u914d\u7684\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u9805\u304b\u3089\u5f97\u3089\u308c\u308b\u6975\u9650\u306e\u7d50\u679c\u306f\u7121\u9650\u5927\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u4ed6\u306e\u4f8b\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-3bfb5cd294a19de382f74738af6be724_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to+\\infty}\\bigl(x^5-4x^2-3x\\bigr)=(+\\infty)^5=+\\infty\\\\[5ex]\\displaystyle\\lim_{x\\to-\\infty}\\bigl(-3x^2-5x\\bigr)=-3\\cdot (-\\infty)^2=-3\\cdot \\infty=-\\infty\\\\[5ex]\\displaystyle\\lim_{x\\to+\\infty}\\bigl(x^7-5x^4+x^3-2x-10\\bigr)=(+\\infty)^7=+\\infty\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"387\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3064\u307e\u308a\u3001\u591a\u9805\u5f0f\u95a2\u6570\u3067\u7121\u9650\u3092\u5236\u9650\u3059\u308b\u5834\u5408\u306f<strong>\u3001\u4ed6\u306e\u3059\u3079\u3066\u306e\u9805\u3092\u7121\u8996\u3057\u3066\u3001\u5358\u7d14\u306b\u7121\u9650\u3092\u6700\u9ad8\u6b21\u9805\u306b\u4ee3\u5165\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059<\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-menos-infinito-con-fracciones\"><\/span>\u5206\u6570\u3092\u4f34\u3046\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650<span class=\"ez-toc-section-end\"><\/span><\/h2>\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>\u4ee3\u6570\u5206\u6570\u306e\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u3067\u7121\u9650\u5927\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u306e\u4e0d\u78ba\u5b9a\u6027\u304c\u767a\u751f\u3059\u308b<\/strong>\u5834\u5408\u3001\u6700\u521d\u306b\u5206\u6570\u306e\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u3092\u884c\u3063\u3066\u304b\u3089\u3001\u6975\u9650\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/div>\n<p>\u4f8b\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3057\u3066\u3001\u5206\u6570\u3092\u542b\u3080\u95a2\u6570\u306e\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u5927\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u3092\u8a08\u7b97\u3059\u308b\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-c58eb86af2eb0393a802fc7a29f8a453_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\left( \\frac{x^2}{x-1} - \\frac{x}{3}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"152\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u5236\u9650\u3092\u8a08\u7b97\u3057\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-b3a2cbbfec28f9de05668b90e9ee65f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\left(  \\frac{x^2}{x-1} - \\frac{x}{3}\\right) = \\frac{(+\\infty)^2}{(+\\infty)-1} - \\frac{+\\infty}{3} = \\bm{+\\infty - \\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"410\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u3057\u304b\u3057\u3001\u4e0d\u78ba\u5b9a\u6027 \u221e-\u221e \u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306b\u5206\u6570\u306e\u5f15\u304d\u7b97\u3092\u884c\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5206\u6570\u3092\u5171\u901a\u306e\u5206\u6bcd\u306b\u63db\u7b97\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u4e00\u65b9\u306e\u5206\u6570\u306e\u5206\u5b50\u3068\u5206\u6bcd\u306b\u3001\u3082\u3046\u4e00\u65b9\u306e\u5206\u6570\u306e\u5206\u6bcd\u3092\u639b\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-68e489c5833478cb20929ea07ae2971d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x \\to +\\infty} \\left( \\frac{x^2}{x-1}-\\frac{x}{3}\\right)=\\\\[5ex]\\displaystyle =\\lim_{x \\to +\\infty}\\left(\\frac{x^2 \\cdot 3}{(x-1)\\cdot 3}- \\frac{x\\cdot (x-1)}{3\\cdot (x-1)} \\right)=\\\\[5ex]\\displaystyle = \\lim_{x \\to +\\infty} \\left( \\frac{3x^2 }{3(x-1)}- \\frac{x^2-x}{3(x-1)}\\right)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"188\" width=\"295\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e21\u65b9\u306e\u5206\u6570\u306e\u5206\u6bcd\u304c\u540c\u3058\u306b\u306a\u3063\u305f\u306e\u3067\u3001\u3053\u308c\u3089\u3092 1 \u3064\u306e\u5206\u6570\u306b\u7d50\u5408\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-1e5345a6d68ae0cdda543b81f89daa62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\frac{3x^2 -(x^2-x)}{3(x-1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"163\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u5206\u5b50\u3068\u5206\u6bcd\u3067\u6f14\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-31cbae0091a641d74250fae5758b3116_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}  \\frac{3x^2 -x^2+x}{3x-3} =  \\lim_{x \\to +\\infty}  \\frac{2x^2+x}{3x-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"284\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u5236\u9650\u3092\u518d\u5ea6\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-6ef29c026035a5353b2bada5bc0d9ff9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{2x^2+x}{3x-3}=\\frac{+\\infty}{+\\infty}=\\bm{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"225\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u5206\u5b50\u306e\u6b21\u6570\u304c\u5206\u6bcd\u306e\u6b21\u6570\u3088\u308a\u3082\u5927\u304d\u3044\u305f\u3081\u3001\u7121\u9650\u5927\u9593\u306e\u7121\u9650\u4e0d\u78ba\u5b9a\u6027\u306f + \u221e \u3092\u4e0e\u3048\u307e\u3059\u3002<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong> <a href=\"https:\/\/mathority.org\/ja\/\u7121\u9650\u9593\u306e\u4e0d\u5b9a\u7121\u9650-%e2%88%9e-%e2%88%9e\/\"><span style=\"text-decoration: underline;\">\u7121\u9650\u306e\u9593\u306e\u7121\u9650\u3068\u306f\u4f55\u3067\u3059\u304b?<\/span><\/a> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"indeterminacion-infinito-menos-infinito-con-raices\"><\/span>\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u6839\u4ed8\u304d<span class=\"ez-toc-section-end\"><\/span><\/h2>\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>\u6839\u53f7\u52a0\u7b97\u307e\u305f\u306f\u6839\u53f7\u6e1b\u7b97\u3067\u7121\u9650\u5927\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u306e\u4e0d\u78ba\u5b9a\u6027\u304c\u767a\u751f\u3059\u308b<\/strong>\u5834\u5408\u3001\u307e\u305a\u5171\u5f79\u6839\u53f7\u5f0f\u3067\u95a2\u6570\u3092\u4e57\u7b97\u304a\u3088\u3073\u9664\u7b97\u3057\u3066\u304b\u3089\u3001\u6975\u9650\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/div>\n<p>\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u306e\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u3001\u7121\u7406\u95a2\u6570\u306e\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u3092\u89e3\u6c7a\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u3044\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-e093b62c357684fe8a8818df58d7b99a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\left(x-\\sqrt{x^2-5}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"165\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u6839\u53f7\u3092\u4f7f\u7528\u3057\u3066\u95a2\u6570\u306e\u6975\u9650\u3092\u89e3\u3044\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-4459c2b6c968344878499cfbb30adda4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\left(x-\\sqrt{x^2-5}\\right)=+\\infty-\\sqrt{(+\\infty)^2}=\\bm{+\\infty-\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"409\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u305f\u3060\u3057\u3001\u4e0d\u5b9a\u5f62 \u221e-\u221e \u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7121\u9650\u5927\u304b\u3089\u7121\u9650\u5927\u3092\u5f15\u3044\u305f\u4e0d\u78ba\u5b9a\u6027\u304c\u3069\u306e\u7a0b\u5ea6\u304b\u3092\u77e5\u308b\u306b\u306f\u3001\u8aac\u660e\u3057\u305f\u624b\u9806\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u95a2\u6570\u306b\u306f\u6839\u53f7\u304c\u3042\u308b\u305f\u3081\u3001\u5171\u5f79\u7121\u7406\u6570\u5f0f\u3067\u95a2\u6570\u5168\u4f53\u3092\u4e57\u7b97\u304a\u3088\u3073\u9664\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-f10d91882a0f8dcca86fbb8dda7da7cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty}\\left(x-\\sqrt{x^2-5}\\right)= \\lim_{x \\to +\\infty}\\frac{\\left(x-\\sqrt{x^2-5}\\right)\\cdot\\left(x+\\sqrt{x^2-5}\\right)}{x+\\sqrt{x^2-5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"55\" width=\"488\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u5206\u5b50\u306e\u4ee3\u6570\u5f0f\u306f\u3001\u548c\u3068\u5dee\u306e\u7a4d\u306e\u6ce8\u76ee\u3059\u3079\u304d\u5358\u4f4d\u306b\u5bfe\u5fdc\u3059\u308b\u305f\u3081\u3001\u5f0f\u3092\u7c21\u7565\u5316\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-b00f177bdb579dabf9dc589e387344cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{\\left(x-\\sqrt{x^2-5}\\right) \\cdot \\left(x + \\sqrt{x^2-5}\\right)}{ x + \\sqrt{x^2-5}}= \\lim_{x \\to +\\infty} \\cfrac{x^2- \\left( \\sqrt{x^2-5}\\right)^2}{ x + \\sqrt{x^2-5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"505\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u9650\u754c\u306e\u6839\u306f\u4e8c\u4e57\u3055\u308c\u308b\u306e\u3067\u3001\u3053\u308c\u3092\u5358\u7d14\u5316\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-d5c798f099ef1c56a50526e7fba8c99c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{x^2-(x^2-5)}{x+\\sqrt{x^2-5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"153\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u5206\u6570\u306e\u5206\u5b50\u3092\u6f14\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-392ae211b16ad803eb70cc4993a0c7e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\frac{x^2- x^2+5}{x+\\sqrt{x^2-5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"146\" style=\"vertical-align: -16px;\"><\/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-be954eaf609b9f98c6dc984758599b5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\frac{5}{x+\\sqrt{x^2-5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"146\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u5236\u9650\u306e\u8a08\u7b97\u3092\u3084\u308a\u76f4\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-c29edfa5eba2fe54e369c3d963d11a45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\frac{5}{x+\\sqrt{x^2-5}}=\\frac{5}{+\\infty+\\sqrt{(+\\infty)^2}}=\\frac{5}{+\\infty}=\\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"391\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7121\u9650\u5927\u3067\u5272\u3063\u305f\u6570\u5024\u306f\u30bc\u30ed\u306b\u7b49\u3057\u3044\u305f\u3081\u3001\u5236\u9650\u306e\u7d50\u679c\u306f 0 \u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-indeterminacion-infinito-menos-infinito\"><\/span>\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u306e\u4e0d\u78ba\u5b9a\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p> x \u304c\u30d7\u30e9\u30b9\u7121\u9650\u5927\u306b\u8fd1\u3065\u304f\u306b\u3064\u308c\u3066\u3001\u6b21\u306e\u6975\u9650\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-bac36c53d4e34c6e9972009b34a64c21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}(7x^2-2x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"134\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u306e\u6975\u9650\u3067\u306f\u3001\u6700\u9ad8\u6b21\u9805\u306f 3 \u6b21\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u9805\u304b\u3089\u5f97\u3089\u308c\u308b\u7121\u9650\u5927\u306b\u7126\u70b9\u3092\u5f53\u3066\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-eee2b50312f5fd4225c85387c311eec5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}(+7x^2-2x^3)=+\\infty^2-\\infty^3=+\\infty-\\infty=\\bm{-\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"408\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p> x \u304c\u8ca0\u306e\u7121\u9650\u5927\u306b\u8fd1\u3065\u304f\u3068\u304d\u306e\u6b21\u306e\u591a\u9805\u5f0f\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-12b903d03d726c28b625fe3f5ba4b3c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -\\infty}(-5x^3-9x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"148\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8ca0\u306e\u7121\u9650\u5927\u306e 3 \u4e57\u306f\u8ca0\u306e\u307e\u307e\u3067\u3059\u304c\u30012 \u4e57\u3059\u308b\u3068\u6b63\u306b\u306a\u308a\u307e\u3059\u3002\u5f8c\u3067\u3001\u305d\u308c\u3089\u306e\u7b26\u53f7\u306f\u305d\u306e\u524d\u306e\u4fc2\u6570\u306b\u3088\u3063\u3066\u5909\u66f4\u3055\u308c\u307e\u3059\u304c\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-172f2927f65e61079b13abd02234f1c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to -\\infty}(-5x^3+x^2)=\\\\[3ex]=-5(-\\infty)^3-9(-\\infty)^2=\\\\[3ex]=-5\\cdot (-\\infty)-9\\cdot \\infty=\\\\[3ex]=+\\infty-\\infty\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"153\" width=\"196\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u4e0d\u5b9a\u5f62\u5f0f\u306e\u7121\u9650\u5927\u30de\u30a4\u30ca\u30b9\u7121\u9650\u5927\u306f\u3001\u6700\u3082\u9ad8\u3044\u6b21\u6570\u306e\u9805 (-5x <sup>3<\/sup> ) \u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u3001\u305d\u3053\u304b\u3089\u6b63\u306e\u7121\u9650\u5927\u304c\u5f97\u3089\u308c\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dfd806b31a588234442f48fa5ae8b751_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -\\infty}(-5x^3+x^2)=\\bm{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"194\" 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 3<\/h3>\n<p>\u6b21\u306e\u6709\u7406\u95a2\u6570\u306e\u7121\u9650\u5927\u306e\u6975\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-f0a8401379d90875626b1fbd3714fd01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\left(\\frac{x^3+1}{x-1}-\\frac{x}{4} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"160\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u95a2\u6570\u5185\u306e\u7121\u9650\u5927\u3092\u7f6e\u304d\u63db\u3048\u3066\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-43df032007d76e00f2f7366e05f9e697_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\left(\\frac{x^3+1}{x-1}-\\frac{x}{4}\\right)=\\frac{(+\\infty)^3+1}{+\\infty-1}-\\frac{+\\infty}{4} = \\bm{+\\infty -\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"425\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u6700\u7d42\u7684\u306b\u306f \u221e \u2013 \u221e \u3068\u3044\u3046\u4e0d\u78ba\u5b9a\u6027\u304c\u751f\u3058\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6570\u3092\u5171\u901a\u306e\u5206\u6bcd\u306b\u63db\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-7e2820674bc86d085f6deec7fdf9adf8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim\\limits_{x \\to +\\infty} \\left(\\frac{x^3+1}{x-1}-\\frac{x}{4} \\right)=\\\\[5ex]\\displaystyle = \\lim_{x\\to +\\infty}\\left(\\frac{(x^3+1)\\cdot4}{(x-1)\\cdot4}-\\frac{x\\cdot(x-1)}{4\\cdot (x-1)}\\right)=\\\\[5ex]\\displaystyle =\\lim_{x\\to +\\infty}\\left(\\frac{4x^3+4}{4x-4}-\\frac{x^2-x}{4x-4}\\right)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"188\" width=\"302\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u4e21\u65b9\u306e\u5206\u6570\u306e\u5206\u6bcd\u304c\u540c\u3058\u306b\u306a\u3063\u305f\u306e\u3067\u3001\u305d\u308c\u3089\u3092 1 \u3064\u306e\u5206\u6570\u306b\u7d50\u5408\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-93a00027be74b1e60c7ee8537ebe5d9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty}\\left(\\frac{4x^3+4}{4x-4}-\\frac{x^2-x}{4x-4}\\right)=\\lim_{x\\to +\\infty}\\frac{4x^3+4-(x^2-x)}{4x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"429\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u5b50\u306e\u304b\u3063\u3053\u3092\u4f5c\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-c7de3ead5b3a5f8bd2ae8d767da693b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty} \\frac{4x^3+4-x^2+x}{4x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"180\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\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-7ffb73fbf26fd2b625e43872a9c10ef9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty}\\frac{4x^3+4-x^2+x}{4x-4}=\\frac{4(+\\infty)^3}{4(+\\infty)}=\\frac{+\\infty}{+\\infty} = \\bm{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"384\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u5206\u5b50\u306e\u6b21\u6570\u304c\u5206\u6bcd\u306e\u6b21\u6570\u3088\u308a\u3082\u5927\u304d\u3044\u305f\u3081\u3001\u4e0d\u6c7a\u5b9a \u221e\/\u221e \u306f +\u221e \u3092\u4e0e\u3048\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> x \u304c 0 \u306b\u8fd1\u3065\u304f\u306b\u3064\u308c\u3066\u3001\u6b21\u306e\u5206\u6570\u95a2\u6570\u306e\u6975\u9650\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-e783bc22baa422d4b537fae4628fb4a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\left(\\frac{-3x-2}{x^4}-\\frac{5}{x^2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"165\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u3044\u3064\u3082\u306e\u3088\u3046\u306b\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-207bc08385f430f0f8c49ac34a10f811_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 0}\\left(\\frac{-3x-2}{x^4}-\\frac{5}{x^2}\\right)=\\frac{-3\\cdot0-2}{0^4}-\\frac{5}{0^2}=\\frac{-2}{0}-\\frac{5}{0}=\\bm{\\infty-\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"477\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u4e0d\u5b9a\u5f62 \u221e-\u221e \u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u5206\u6570\u3092\u5171\u901a\u306e\u5206\u6bcd\u306b\u6e1b\u3089\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001 x <sup>4<\/sup>\u306f x <sup>2<\/sup>\u306e\u500d\u6570\u3067\u3042\u308b\u305f\u3081\u30012 \u756a\u76ee\u306e\u5206\u6570\u306e\u5206\u5b50\u3068\u5206\u6bcd\u306b x <sup>2<\/sup>\u3092\u639b\u3051\u308b\u3060\u3051\u3067\u3001\u4e21\u65b9\u306e\u5206\u6570\u304c\u540c\u3058\u5206\u6bcd\u3092\u6301\u3064\u3053\u3068\u304c\u308f\u304b\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-876115dc1fb49e81373d70be5fdcfb5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x \\to 0}\\left(\\frac{-3x-2}{x^4}-\\frac{5}{x^2}\\right)=\\\\[5ex]\\displaystyle =\\lim_{x \\to 0}\\left(\\frac{-3x-2}{x^4}-\\frac{5\\cdot x^2}{x^2\\cdot x^2} \\right)=\\\\[5ex]\\displaystyle =\\lim_{x\\to 0}\\left(\\frac{-3x-2}{x^4}-\\frac{5x^2}{x^4}\\right)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"186\" width=\"235\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> 2 \u3064\u306e\u5206\u6570\u3092\u5f15\u304d\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\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-bf56e81e075d9ac498e9df87a94a675f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 0}\\left(\\frac{-3x-2}{x^4}-\\frac{5x^2}{x^4}\\right)=\\lim_{x\\to 0}\\frac{-3x-2-5x^2 }{x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"346\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3082\u3046\u4e00\u5ea6\u5236\u9650\u3092\u89e3\u6c7a\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-b231cf80ccb03d1287c1aab47769bc34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to 0}  \\cfrac{-3x-2-5x^2 }{x^4} =\\cfrac{-3\\cdot 0-2-5\\cdot 0^2}{0^4}=\\frac{-2}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"370\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u6700\u7d42\u7684\u306b\u306f\u5b9a\u6570\u3092\u30bc\u30ed\u3067\u5272\u3063\u305f\u4e0d\u78ba\u5b9a\u6027\u304c\u751f\u3058\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u6a2a\u65b9\u5411\u306e\u9650\u754c\u3092\u8a08\u7b97\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-c4ced459b1e0da92f03d9d9515b6ea68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 0^{-}} \\frac{-3x-2-5x^2}{x^4}=\\frac{-2}{+0}=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"262\" 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-239f065e0fe7bb4055e63a8477c030f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 0^{+}}\\frac{-3x-2-5x^2}{x^4}=\\frac{-2}{+0}=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"262\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7d50\u8ad6\u3068\u3057\u3066\u3001\u70b9 x=0 \u306b\u304a\u3051\u308b\u95a2\u6570\u306e 2 \u3064\u306e\u6a2a\u65b9\u5411\u306e\u6975\u9650\u306f -\u221e \u3092\u4e0e\u3048\u308b\u305f\u3081\u3001\u6975\u9650\u306e\u89e3\u306f -\u221e \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-30ab5fa39e1b25568d55de0cc4267dc6_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)= \\bm{-\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"401\" 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 5<\/h3>\n<p>\u6b21\u306e\u95a2\u6570\u306e\u7121\u9650\u6975\u9650\u3092\u6839\u3067\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-5fb2be8c217ffddadf1b3d9d55f100c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\left(4x^2-\\sqrt{x^4+1}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"182\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6975\u9650\u3092\u89e3\u3053\u3046\u3068\u3059\u308b\u3068\u3001\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u3068\u3044\u3046\u4e0d\u78ba\u5b9a\u6027\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8a1a6b3ff08a703378b8cfb1b5e6532c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\left(4x^2-\\sqrt{x^4+1}\\right)=4(+\\infty)^2-\\sqrt{(+\\infty)^4}=\\bm{+\\infty -\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"456\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306b\u306f\u6839\u53f7\u304c\u3042\u308b\u305f\u3081\u3001\u5171\u5f79\u6839\u53f7\u5f0f\u3067\u4e57\u7b97\u304a\u3088\u3073\u9664\u7b97\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-3c4cdc9585a792800b8c903745ecc7c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty}\\left(4x^2-\\sqrt{x^4+1} \\right)=\\lim_{x \\to +\\infty}\\frac{\\left(4x^2-\\sqrt{x^4+1}\\right)\\cdot\\left(4x^2+\\sqrt{x^4+1}\\right)}{4x^2+\\sqrt{x^4+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"55\" width=\"538\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u5b50\u306b\u306f\u3001\u548c\u3068\u5dee\u306e\u6ce8\u76ee\u3059\u3079\u304d\u7a4d\u304c\u3042\u308a\u3001\u3053\u308c\u306f\u4e8c\u4e57\u306e\u5dee\u306b\u7b49\u3057\u3044\u3067\u3059\u3002\u307e\u3060\uff1a<\/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-1aab32f1a28189a4ce96f3816f11a02e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\left(4x^2\\right)^2-\\left(\\sqrt{x^4+1}\\right)^2}{4x^2+\\sqrt{x^4+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"216\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6839\u53f7\u3092\u4e8c\u4e57\u306b\u5358\u7d14\u5316\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-6d86adc198c4fb2cd1d99c94e5b8430e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\bigl(4x^2\\bigr)^2-(x^4+1)}{4x^2+\\sqrt{x^4+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"186\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u5b50\u3067\u6f14\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-5c07c403048b4d3e40a8034333ff069c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{16x^4-x^4-1}{4x^2+\\sqrt{x^4+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"163\" style=\"vertical-align: -16px;\"><\/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-c138b064a8fa3142cb2d50782807ebb4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{15x^4-1}{4x^2+\\sqrt{x^4+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"163\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u9650\u754c\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-cdb8845be6c640f0370961c3a52598d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{15x^4-1}{4x^2+\\sqrt{x^4+1}}=\\frac{15(+\\infty)^4}{4(+\\infty)^2+\\sqrt{(+\\infty)^4}}=\\frac{+\\infty}{+\\infty}= \\bm{+\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"460\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u5206\u5b50\u306e\u6b21\u6570\u304c\u5206\u6bcd\u306e\u6b21\u6570\u3088\u308a\u3082\u5927\u304d\u3044\u305f\u3081\u3001\u7121\u9650\u4e0d\u78ba\u5b9a\u6027\u3092\u7121\u9650\u3067\u5272\u3063\u305f\u5024\u306f\u3088\u308a\u7121\u9650\u306b\u306a\u308a\u307e\u3059 (\u5e73\u65b9\u6839\u306b\u3088\u3063\u3066\u6b21\u6570\u304c 2 \u6e1b\u5c11\u3059\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044:<\/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-ded55d5413ed7bccc29e8228df205f19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{x^4} = x^{4\/2} = x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"127\" style=\"vertical-align: -1px;\"><\/p>\n<p> \uff09\u3002<\/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\u7121\u7406\u95a2\u6570\u306e x \u304c\u7121\u9650\u5927\u306b\u8fd1\u3065\u304f\u3068\u304d\u306e\u6975\u9650\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-7d9f21f0159778cdb1f0710e1a9e0023_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\left(2x-1-\\sqrt{4x^2+1}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"214\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u3044\u3064\u3082\u306e\u3088\u3046\u306b\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-5419056e772f9d11884cae7e315ca947_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\left(2x-1-\\sqrt{4x^2+1}\\right)=2(+\\infty)-\\sqrt{4(+\\infty)^2}=\\bm{+\\infty -\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"489\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u305d\u308c\u306f\u7d50\u679c\u3068\u3057\u3066\u3001\u7121\u9650\u5927\u306e\u5dee\u304c\u4e0d\u5b9a\u306b\u306a\u308b\u3053\u3068\u3092\u4e0e\u3048\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306b\u306f\u30eb\u30fc\u30c8\u304c\u3042\u308b\u305f\u3081\u3001\u5f0f\u3092\u5171\u5f79\u6839\u53f7\u3067\u4e57\u7b97\u3057\u3066\u9664\u7b97\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-bde8a1f86cf7be80170b9595b5a822df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\left(2x-1-\\sqrt{4x^2+1}\\right)\\cdot\\left(2x-1+\\sqrt{4x^2+1}\\right)}{2x-1 +\\sqrt{4x^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"55\" width=\"393\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u6570\u306e\u5206\u5b50\u306e\u6ce8\u76ee\u3059\u3079\u304d\u7b49\u4fa1\u6027\u3092\u30b0\u30eb\u30fc\u30d7\u5316\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-e074e8c7841e0951ae03d6dfd2bfd1b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\left(2x-1\\right)^2-\\left(\\sqrt{4x^2+1}\\right)^2}{2x-1+\\sqrt{4x^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"59\" width=\"245\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5e73\u65b9\u6839\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-17beafd120a7fc185e1499671fb4421a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{\\left(2x-1\\right)^2-\\left(4x^2+1\\right)}{2x-1+\\sqrt{4x^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"218\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5dee\u306e\u4e8c\u4e57\u306e\u6ce8\u76ee\u3059\u3079\u304d\u6052\u7b49\u5f0f\u3092\u89e3\u6c7a\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-4a34cb3941c92a785c11c50ecaa1e438_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{4x^2+1-4x-\\left(4x^2+1\\right)}{2x-1+\\sqrt{4x^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"245\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u5b50\u3067\u6f14\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-1a2e8d86f22087e775650d36bf78e719_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{4x^2+1-4x-4x^2-1}{2x-1+\\sqrt{4x^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"228\" style=\"vertical-align: -16px;\"><\/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-2f25890bccb1eaa4c7aa7338f3a25f6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty}\\frac{-4x}{2x-1+\\sqrt{4x^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"195\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u7121\u9650\u5927\u3067\u306e\u5236\u9650\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-6986ded778a6220e3ad9d6c6bf873451_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to +\\infty} \\cfrac{-4x }{2x-1 +\\sqrt{4x^2+1} } = \\cfrac{-4(+\\infty) }{2(+\\infty)+\\sqrt{4(+\\infty)^2} } = \\cfrac{-\\infty}{+\\infty} =\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"458\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u6bcd\u306b x \u306e 2 \u4e57\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u6839\u306e\u4e2d\u306b\u3042\u308b\u305f\u3081\u3001\u305d\u306e\u6b21\u6570\u306f\u5b9f\u969b\u306b\u306f 1 \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-0decc88d206f476d332becb025b8eeaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{4x^2} =\\sqrt{4}\\cdot \\sqrt{x^2} = \\sqrt{4}\\cdot x^{2\/2} =\\sqrt{4} x^1=\\sqrt{4}x .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"351\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u5b50\u306e\u6b21\u6570\u306f\u5206\u6bcd\u306e\u6b21\u6570\u3068\u540c\u3058\u3067\u3042\u308b\u305f\u3081\u3001\u4e0d\u78ba\u5b9a\u6027 -\u221e\/+\u221e \u306e\u7d50\u679c\u306f\u3001\u3088\u308a\u9ad8\u3044\u6b21\u6570\u306e x \u306e\u4fc2\u6570\u306e\u9664\u7b97\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-8eb19af7ca51c14245db81bd6781b881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty}\\frac{-4x}{2x-1+\\sqrt{4x^2+1} }=\\frac{-\\infty}{+\\infty}=\\frac{-4}{2+\\sqrt{4}}=\\frac{-4}{2+2}=\\frac{-4}{4}=\\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"499\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u6bcd\u306b 2 \u3064\u306e 1 \u6b21\u9805\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-c973910499b6b5a4828e213dc33f948d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(2x\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"25\" style=\"vertical-align: -7px;\"><\/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-c623cb17f27418239e3fcf7c2ec09946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{4x^2}\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"46\" style=\"vertical-align: -7px;\"><\/p>\n<p>\u3001\u4e0d\u78ba\u5b9a\u6027 -\u221e\/+\u221e \u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u30011 \u6b21\u9805\u306e\u3059\u3079\u3066\u306e\u4fc2\u6570\u3092\u53d6\u5f97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e584dd0bab4e6c8efc164939c28db757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da4556c0a02b580047678d308649edf9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u3057\u3066\u305d\u306e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-65ddaa07508d3929b6969a5e4e6baddf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"23\" style=\"vertical-align: -2px;\"><\/p>\n<p>\u306e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4e8a851efdbfbb4531c82837d5a61edd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{4x^2}.\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"44\" style=\"vertical-align: -1px;\"><\/p>\n<\/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>\u5206\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001x \u304c\u6b21\u306e\u95a2\u6570\u306e 1 \u306b\u8fd1\u3065\u304f\u3068\u304d\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-480bb119c1303a7afa394d812b0e7602_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 1}\\left(\\frac{1}{1-x}-\\frac{3}{1-x^3}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"173\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5236\u9650\u3092\u4f5c\u6210\u3057\u3088\u3046\u3068\u3059\u308b\u3068\u3001\u7121\u9650\u304b\u3089\u7121\u9650\u3092\u5f15\u3044\u305f\u4e0d\u5b9a\u306e\u5236\u9650\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d11d45ea6681f3645773f6e0df8cce9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 1}\\left(\\frac{1}{1-x}-\\frac{3}{1-x^3}\\right)=\\frac{1}{1-1}--\\frac{3}{1-1^3}=\\frac{1}{0}-\\frac{3}{0}=\\bm{\\infty-\\infty}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"480\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6570\u3092\u5171\u901a\u306e\u5206\u6bcd\u306b\u6e1b\u3089\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u4e00\u65b9\u306e\u5206\u6570\u306e\u5206\u5b50\u3068\u5206\u6bcd\u306b\u3001\u3082\u3046\u4e00\u65b9\u306e\u5206\u6570\u306e\u5206\u6bcd\u3092\u4e57\u7b97\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-75bf3ffa177f32711c5509ce5fe5992d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x \\to 1}\\left(\\frac{1}{1-x}-\\frac{3}{1-x^3} \\right)=\\\\[5ex]\\displaystyle =\\lim_{x\\to 1}\\left( \\frac{1\\cdot(1-x^3)}{(1-x)\\cdot(1-x^3)}-\\frac{3\\cdot(1-x)}{(1-x^3)\\cdot(1-x)}\\right)=\\\\[5ex]\\displaystyle =\\lim_{x \\to 1}\\left(\\frac{1-x^3}{1-x-x^3+x^4}-\\frac{3-3x}{1-x-x^3+x^4}\\right)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"186\" width=\"382\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u30012 \u3064\u306e\u5206\u6570\u306e\u5206\u6bcd\u304c\u540c\u3058\u306b\u306a\u3063\u305f\u306e\u3067\u3001\u3053\u308c\u3089\u3092\u307e\u3068\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-c381a263e89e5a60ff0e6df9367a8ab1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 1}\\left(\\frac{1-x^3}{1-x-x^3+x^4}-\\frac{3-3x}{1-x-x^3+x^4}\\right)=\\lim_{x\\to 1}\\frac{1-x^3-(3-3x)}{1-x-x^3+x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"517\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u79c1\u305f\u3061\u306f\u4ee5\u4e0b\u3092\u904b\u55b6\u3057\u3066\u3044\u307e\u3059\uff1a <\/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-05279cd25d55f5c50edfb5f82929701b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 1} \\cfrac{1-x^3-3+3x}{1-x-x^3+x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"153\" 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-818107141eb339d788408e23078ddda9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 1} \\cfrac{-x^3+3x-2}{x^4-x^3-x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"153\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u3082\u3046\u4e00\u5ea6\u5236\u9650\u3092\u89e3\u3044\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-9d0a31b51faff7e77e778fba66fdbaa1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 1}\\frac{-x^3+3x-2}{x^4-x^3-x+1}=\\frac{-1^3+3\\cdot1-2}{1^4-1^3-1+1}=\\mathbf{\\frac{0}{0}}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"335\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u4e0d\u78ba\u5b9a\u6027\u30bc\u30ed\u304c\u30bc\u30ed\u3067\u9664\u7b97\u3055\u308c\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u5b50\u591a\u9805\u5f0f\u3068\u5206\u6bcd\u591a\u9805\u5f0f\u3092\u56e0\u6570\u5206\u89e3\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-e5b8321a511b5e370abe8844bf9624ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 1}\\frac{-x^3+3x-2}{x^4-x^3-x+1}=\\lim_{x \\to 1}\\frac{-(x-1)^2(x+2)}{(x-1)^2(x^2+x+1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"369\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u3053\u3067\u3001\u5206\u5b50\u3068\u5206\u6bcd\u3067\u7e70\u308a\u8fd4\u3055\u308c\u308b\u56e0\u6570\u3092\u524a\u9664\u3057\u3066\u5206\u6570\u3092\u5358\u7d14\u5316\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-ab5629bd2fabeb755da37d3abea335b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 1}\\frac{-\\cancel{(x-1)^2}(x+2)}{\\cancel{(x-1)^2}(x^2+x+1)}=\\lim_{x \\to 1}\\frac{-(x+2)}{x^2+x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"329\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u5236\u9650\u3092\u89e3\u6c7a\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-dbb1676133fe1e33fb4d18078b945959_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x \\to 1}\\frac{-(x+2)}{x^2+x+1}=\\frac{-(1+2)}{1^2+1+1}=\\frac{-3}{3}=\\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"316\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650(\u221e-\u221e)\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u307e\u3056\u307e\u306a\u30bf\u30a4\u30d7\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u3053\u306e\u4e0d\u78ba\u5b9a\u6027\u306e\u4f8b\u304c\u898b\u3064\u304b\u308a\u3001\u3055\u3089\u306b\u3001\u4e0d\u78ba\u5b9a\u6027\u306e\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u7df4\u7fd2\u554f\u984c\u3092\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u7121 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/\"> <span class=\"screen-reader-text\">\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e)<\/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-374","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e) - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/ja\/\u4e0d\u78ba\u5b9a\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650-\u221e-\u221e\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e) - Mathority\" \/>\n<meta property=\"og:description\" content=\"\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650(\u221e-\u221e)\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u307e\u3056\u307e\u306a\u30bf\u30a4\u30d7\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u3053\u306e\u4e0d\u78ba\u5b9a\u6027\u306e\u4f8b\u304c\u898b\u3064\u304b\u308a\u3001\u3055\u3089\u306b\u3001\u4e0d\u78ba\u5b9a\u6027\u306e\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u7df4\u7fd2\u554f\u984c\u3092\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u7121 &hellip; \u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e) \u3082\u3063\u3068\u8aad\u3080 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ja\/\u4e0d\u78ba\u5b9a\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650-\u221e-\u221e\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-04T04:08:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1bfc56d2079c86e8ad6e1943311b730_l3.png\" \/>\n<meta name=\"author\" content=\"B1oN0W1@L5\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"B1oN0W1@L5\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/\",\"url\":\"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/\",\"name\":\"\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e) - Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ja\/#website\"},\"datePublished\":\"2023-07-04T04:08:40+00:00\",\"dateModified\":\"2023-07-04T04:08:40+00:00\",\"author\":{\"@id\":\"https:\/\/mathority.org\/ja\/#\/schema\/person\/c5d030d51df9fedd3b375fd3c5be378e\"},\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/#breadcrumb\"},\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/ja\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/ja\/#website\",\"url\":\"https:\/\/mathority.org\/ja\/\",\"name\":\"\",\"description\":\"\u597d\u5947\u5fc3\u3068\u8a08\u7b97\u304c\u51fa\u4f1a\u3046\u5834\u6240 !\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/ja\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"ja\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/ja\/#\/schema\/person\/c5d030d51df9fedd3b375fd3c5be378e\",\"name\":\"B1oN0W1@L5\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ja\",\"@id\":\"https:\/\/mathority.org\/ja\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"B1oN0W1@L5\"},\"sameAs\":[\"http:\/\/mathority.org\/ja\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e) - Mathority","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/ja\/\u4e0d\u78ba\u5b9a\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650-\u221e-\u221e\/","og_locale":"ja_JP","og_type":"article","og_title":"\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e) - Mathority","og_description":"\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650(\u221e-\u221e)\u306e\u4e0d\u78ba\u5b9a\u6027\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u307e\u3056\u307e\u306a\u30bf\u30a4\u30d7\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u3053\u306e\u4e0d\u78ba\u5b9a\u6027\u306e\u4f8b\u304c\u898b\u3064\u304b\u308a\u3001\u3055\u3089\u306b\u3001\u4e0d\u78ba\u5b9a\u6027\u306e\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650\u3092\u6bb5\u968e\u7684\u306b\u89e3\u304f\u7df4\u7fd2\u554f\u984c\u3092\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u7121 &hellip; \u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e) \u3082\u3063\u3068\u8aad\u3080 &raquo;","og_url":"https:\/\/mathority.org\/ja\/\u4e0d\u78ba\u5b9a\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650-\u221e-\u221e\/","article_published_time":"2023-07-04T04:08:40+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1bfc56d2079c86e8ad6e1943311b730_l3.png"}],"author":"B1oN0W1@L5","twitter_card":"summary_large_image","twitter_misc":{"\u57f7\u7b46\u8005":"B1oN0W1@L5"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/","url":"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/","name":"\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e) - Mathority","isPartOf":{"@id":"https:\/\/mathority.org\/ja\/#website"},"datePublished":"2023-07-04T04:08:40+00:00","dateModified":"2023-07-04T04:08:40+00:00","author":{"@id":"https:\/\/mathority.org\/ja\/#\/schema\/person\/c5d030d51df9fedd3b375fd3c5be378e"},"breadcrumb":{"@id":"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/#breadcrumb"},"inLanguage":"ja","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/ja\/%e4%b8%8d%e7%a2%ba%e5%ae%9a%e7%84%a1%e9%99%90%e3%83%9e%e3%82%a4%e3%83%8a%e3%82%b9%e7%84%a1%e9%99%90-%e2%88%9e-%e2%88%9e\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/ja\/"},{"@type":"ListItem","position":2,"name":"\u4e0d\u78ba\u5b9a\u6027\u7121\u9650\u30de\u30a4\u30ca\u30b9\u7121\u9650 (\u221e-\u221e)"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/ja\/#website","url":"https:\/\/mathority.org\/ja\/","name":"","description":"\u597d\u5947\u5fc3\u3068\u8a08\u7b97\u304c\u51fa\u4f1a\u3046\u5834\u6240 !","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/ja\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"ja"},{"@type":"Person","@id":"https:\/\/mathority.org\/ja\/#\/schema\/person\/c5d030d51df9fedd3b375fd3c5be378e","name":"B1oN0W1@L5","image":{"@type":"ImageObject","inLanguage":"ja","@id":"https:\/\/mathority.org\/ja\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","caption":"B1oN0W1@L5"},"sameAs":["http:\/\/mathority.org\/ja"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/posts\/374","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/comments?post=374"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/posts\/374\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/media?parent=374"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/categories?post=374"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/tags?post=374"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}