{"id":19,"date":"2023-09-17T11:08:30","date_gmt":"2023-09-17T11:08:30","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/"},"modified":"2023-09-17T11:08:30","modified_gmt":"2023-09-17T11:08:30","slug":"%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/","title":{"rendered":"\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u78ba\u8a8d\u3057\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306b\u95a2\u3059\u308b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u7df4\u7fd2\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-limites-trigonometricos\"><\/span>\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4e09\u89d2\u9650\u754c\u306f\u3001\u4e09\u89d2\u95a2\u6570\u3067\u8a08\u7b97\u3055\u308c\u308b\u9650\u754c\u3067\u3059\u3002<\/strong>\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u3092\u89e3\u304f\u306b\u306f\u3001\u4e00\u822c\u306b\u4e0d\u5b9a\u304c\u751f\u3058\u308b\u305f\u3081\u3001\u4e88\u5099\u624b\u9806\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3055\u3089\u306b\u3001\u4e09\u89d2\u95a2\u6570\u306f\u5468\u671f\u95a2\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u7121\u9650\u306e\u9650\u754c\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\u3002\u3064\u307e\u308a\u3001\u30b0\u30e9\u30d5\u306f\u7279\u5b9a\u306e\u5024\u306b\u5411\u304b\u3046\u50be\u5411\u304c\u306a\u304f\u3001\u5b9a\u671f\u7684\u306b\u7e70\u308a\u8fd4\u3055\u308c\u7d9a\u3051\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formulas-de-los-limites-trigonometricos\"><\/span>\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3059\u3079\u3066\u306e\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u306f\u3001\u6b21\u306e 2 \u3064\u306e\u5f0f\u304b\u3089\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-14300dcf4010d732b8568b9b4460b5e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" 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>\u6570\u5f0f\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4ee3\u5165\u306b\u3088\u3063\u3066\u6975\u9650\u3092\u8a08\u7b97\u3057\u3088\u3046\u3068\u3059\u308b\u3068\u3001\u30bc\u30ed\u9593\u306e\u30bc\u30ed\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-0ba13ab3640b429e546e97da2a0ab155_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=\\frac{\\text{sen}(0)}{0}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"193\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u3053\u306e\u4e09\u89d2\u95a2\u6570\u306e\u516c\u5f0f\u306f\u3001\u3088\u308a\u8fd1\u3044\u95a2\u6570\u306e\u5024\u3068 x=0 \u306b\u8fd1\u3044\u5024 (\u30e9\u30b8\u30a2\u30f3\u5358\u4f4d\u306e\u89d2\u5ea6) \u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2a7ed3df9110a97c224bde10980f2682_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"142\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-123\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ccd668acef73b9140a0cbbb9c1d53ad3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\begin{array}{l}f(-1)=\\cfrac{\\text{sen}(-1)}{-1}=0,84147\\\\[3ex]f(-0,1)=\\cfrac{\\text{sen}(-0,1)}{-0,1}=0,99833\\\\[3ex]f(-0,01)=\\cfrac{\\text{sen}(-0,01)}{-0,01}=0,99998\\\\[3ex]f(-0,001)=\\cfrac{\\text{sen}(-0,001)}{-0,001}=0,99999\\end{array}\\\\[14ex]\\vdots\\\\[2ex]\\displaystyle\\lim_{x\\to 0^-}\\frac{\\text{sen}(x)}{x}=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"312\" width=\"288\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66152efc3ce1fa761186a65db677af27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\begin{array}{l}f(1)=\\cfrac{\\text{sen}(1)}{1}=0,84147\\\\[3ex]f(0,1)=\\cfrac{\\text{sen}(0,1)}{0,1}=0,99833\\\\[3ex]f(0,01)=\\cfrac{\\text{sen}(0,01)}{0,01}=0,99998\\\\[3ex]f(0,001)=\\cfrac{\\text{sen}(0,001)}{0,001}=0,99999\\end{array}\\\\[14ex]\\vdots\\\\[2ex]\\displaystyle\\lim_{x\\to 0^+}\\frac{\\text{sen}(x)}{x}=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"312\" width=\"261\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4e09\u89d2\u95a2\u6570\u306e 2 \u3064\u306e\u6a2a\u65b9\u5411\u306e\u6975\u9650\u306f 1 \u306a\u306e\u3067\u3001\u70b9 x=0 \u3067\u306e\u6975\u9650\u306f 1 \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-8af649189957b154866097e315f7cb92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\lim_{x\\to 0^-}\\frac{\\text{sen}(x)}{x}=\\lim_{x\\to 0^+}\\frac{\\text{sen}(x)}{x}=1\\\\[3ex]\\color{orange}\\bm{\\downarrow}\\\\[2ex]\\lim_{x\\to 0}\\displaystyle\\frac{\\text{sen}(x)}{x}=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"130\" width=\"243\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001x \u304c 0 \u306b\u8fd1\u3065\u304f\u50be\u5411\u304c\u3042\u308b\u305f\u3081\u3001x \u306e\u6b63\u5f26\u3092 x \u3067\u5272\u3063\u305f\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u306f 1 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u516c\u5f0f\u306f\u3044\u304f\u3064\u304b\u306e\u89d2\u5ea6\u306b\u3082\u9069\u7528\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-e8b276a8e0f8bf93f3ea2b7d0158adbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(kx)}{kx}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"125\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51835176b411ca1ec4f37835a83685fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"146\" 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>\u6570\u5f0f\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u76f4\u63a5\u4ee3\u5165\u306b\u3088\u3063\u3066\u6975\u9650\u3092\u898b\u3064\u3051\u3088\u3046\u3068\u3059\u308b\u3068\u3001\u30bc\u30ed\u9593\u306e\u4e0d\u5b9a\u5f62\u30bc\u30ed\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-3e50a5f25f1ca148a4e0107e75e62c43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=}\\frac{1-\\text{cos}(0)}{0}=\\frac{1-1}{0}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"319\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u4e0a\u306e\u5f0f\u304b\u3089\u7b49\u3057\u3044\u3053\u3068\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u307e\u305a\u5206\u6570\u306e\u5206\u5b50\u3068\u5206\u6bcd\u306b 1 \u3068 x \u306e\u30b3\u30b5\u30a4\u30f3\u3092\u639b\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40196b4f425393970ff11577ef645dba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\bigl(1-\\text{cos}(x)\\bigr)\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}{x\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"235\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u6570\u306e\u5206\u5b50\u306b\u6ce8\u76ee\u3059\u3079\u304d\u540c\u4e00\u6027\u304c\u5f97\u3089\u308c\u305f\u306e\u3067\u3001\u305d\u308c\u3092\u5358\u7d14\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-052fdb01d818c3baa3293d4e1927d37c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1^2-\\text{cos}^2(x)}{x\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"151\" style=\"vertical-align: -20px;\"><\/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-4b7f2f3a29d5eaebb5f226607e80dbb9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}^2(x)}{x\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"151\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u57fa\u672c\u7684\u306a\u4e09\u89d2\u95a2\u6570\u306e\u6052\u7b49\u5f0f\u304b\u3089\u59cb\u3081\u3066\u3001\u5206\u5b50\u3092\u66f8\u304d\u63db\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-ff23bded6a6a479ee358e635c74ef2fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}^2(x)+\\text{cos}^2(x)=1 \\ \\longrightarrow \\ \\text{sen}^2(x)=1-\\text{cos}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"381\" style=\"vertical-align: -5px;\"><\/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-df11237bdbf1c1ef5f607f08db54ca91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}^2(x)}{x\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"151\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6570\u3092\u5206\u6570\u306e\u7a4d\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-cff26553bbe1117d69b5a11e0371b996_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)\\cdot \\text{sen}(x)}{x\\cdot \\bigl(1+\\text{cos}(x)\\bigr)}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"151\" style=\"vertical-align: -20px;\"><\/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-ac46678f2030eed0dc15696613ec60ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot \\frac{\\text{sen}(x)}{1+\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"178\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u9650\u754c\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u4e0a\u8a18\u306e\u5f0f\u3092\u9650\u754c\u306e\u7a4d\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-94b986a7b575a61eeba306ce22a6a01e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot \\lim_{x\\to 0}\\frac{\\text{sen}(x)}{1+\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"209\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e0a\u3067\u793a\u3057\u305f\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u3092\u7c21\u5358\u306b\u5358\u7d14\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-14300dcf4010d732b8568b9b4460b5e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c46c6322634327f17aa601618460fd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1\\cdot \\lim_{x\\to 0}\\frac{\\text{sen}(x)}{1+\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"133\" 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-b446be13fe115291c38a7c34c192d571_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 0}\\frac{\\text{sen}(x)}{1+\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"112\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u5236\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-bee04c527b0609fc39a7729ec6677874_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 0}\\frac{\\text{sen}(0)}{1+\\text{cos}(0)}=\\frac{0}{1+1}=\\frac{0}{2}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"248\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u516c\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u691c\u8a3c\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-51835176b411ca1ec4f37835a83685fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"146\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4ed6\u306e\u516c\u5f0f\u3068\u540c\u69d8\u306b\u3001\u8907\u6570\u306e\u89d2\u5ea6\u306b\u3082\u4f7f\u7528\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-afd4adcffaaad5d5b5c7063ec3542b5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(kx)}{kx}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"156\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u3092\u89e3\u304f\u306b\u306f\u3001\u7b97\u8853\u3092\u4f7f\u7528\u3057\u3066\u95a2\u6570\u3092\u5909\u63db\u3057\u3001\u3053\u308c\u3089\u3068\u540c\u69d8\u306e\u5f0f\u3092\u53d6\u5f97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/strong>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u30012 \u3064\u306e\u5f0f\u306e\u3044\u305a\u308c\u304b\u3092\u4f7f\u7528\u3057\u3066\u3001\u5236\u9650\u5024\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3067\u3001\u7279\u5b9a\u306e\u4e09\u89d2\u6052\u7b49\u5f0f\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u5834\u5408\u3082\u3042\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u306f\u3059\u3079\u3066\u3042\u306a\u305f\u306b\u304a\u4efb\u305b\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u4e09\u89d2\u6052\u7b49\u5f0f<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">3 \u3064\u306e\u4e3b\u8981\u306a\u4e09\u89d2\u6bd4\u3092\u7d50\u3073\u4ed8\u3051\u308b\u516c\u5f0f:<\/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-dbf6d65fa67f0a2161bd99ee7431f015_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x)=\\cfrac{\\text{sen}(x)}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"124\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u57fa\u672c\u7684\u306a\u4e09\u89d2\u95a2\u6570\u306e\u6052\u7b49\u5f0f:<\/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-92d80771f891319379b2e756c5524aaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}^2(x)+\\text{cos}^2(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"165\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u57fa\u672c\u7684\u306a\u3053\u3068\u304b\u3089\u5c0e\u304b\u308c\u308b\u4e09\u89d2\u95a2\u4fc2: <\/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-983ec3f9bdead575a110ab13a3149351_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1+\\text{tan}^2 (x)=\\cfrac{1}{\\text{cos}^2(x)}=\\text{sec}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"245\" 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-7b04254cbdd6156ce5fd5449f5234a9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1+\\text{cot}^2 (x)=\\cfrac{1}{\\text{sen}2(x)}=\\text{cosec}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"262\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u53cd\u5bfe\u306e\u89d2\u5ea6: <\/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-a0a5345d1ad85390cacfc38e99beb548_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(-x)=-\\text{sen}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"148\" style=\"vertical-align: -5px;\"><\/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-b7ef3e0d227838cf04c0f7413d1e07f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cos}(-x)=\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"132\" style=\"vertical-align: -5px;\"><\/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-507f1aa7df63922130ea766d03aaf91a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(-x)=-\\text{tan}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> 2 \u3064\u306e\u89d2\u5ea6\u306e\u5408\u8a08: <\/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-58668a0aaa63a0e4c39b859619d2444a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(x+y)=\\text{sen}(x)\\text{cos}(y)+\\text{cos}(x)\\text{sen}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" style=\"vertical-align: -5px;\"><\/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-46aaa0aea1219b24ef354afcc8a15953_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cos}(x+y)=\\text{cos}(x)\\text{cos}(y)-\\text{sen}(x)\\text{sen}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"314\" style=\"vertical-align: -5px;\"><\/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-c5c001a17b792285beacf6cf91f93033_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x+y)=\\cfrac{\\text{tan}(x)+\\text{tan}(y)}{1-\\text{tan}(x)\\text{tan}(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"235\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> 2\u3064\u306e\u89d2\u5ea6\u306e\u5dee: <\/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-02420c87f520da509e0193dab4798f55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(x-y) = \\text{sen}(x)\\text{cos}(y)-\\text{cos}(x)\\text{sen}(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" style=\"vertical-align: -5px;\"><\/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-9d5d84d5fa7db15e90131596953bedb9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cos}(x-y) = \\text{cos}(x)\\text{cos}(y)+ \\text{sen}(x) sen(y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"317\" style=\"vertical-align: -5px;\"><\/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-b5d01deaacd8e294bcfd6b6284231fa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x-y)=\\cfrac{\\text{tan}(x)-\\text{tan}(y)}{1+\\text{tan}(x)\\text{tan}(y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"235\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u500d\u89d2: <\/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-c135a8fb824883a8b8f9ff27a737a9d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(2x) = 2\\text{sen}(x)\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"185\" style=\"vertical-align: -5px;\"><\/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-91843029bf168eab0615f3bb849f2dd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cos}(2x) =\\text{cos}^2(x)-\\text{sen}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"213\" style=\"vertical-align: -5px;\"><\/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-0cc8aed863858c3052e1dae8bdcdb377_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(2x) =\\cfrac{2\\text{tan}(x)}{1-\\text{tan}^2(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"172\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u534a\u89d2: <\/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-ccae2dc8b2bc812d68f9361538ebaf4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}\\left(\\frac{x}{2}\\right) = \\pm \\sqrt{\\frac{1-\\text{cos}(x)}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"201\" style=\"vertical-align: -13px;\"><\/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-6f87b3d54e5b0d7527bf38b2a7a71928_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos}\\left(\\frac{x}{2}\\right) = \\pm \\sqrt{\\frac{1+\\text{cos}(x)}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"200\" style=\"vertical-align: -13px;\"><\/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-1126d8d443e0285d4ecc510a119b393d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{tan}\\left(\\frac{x}{2}\\right) = \\pm \\sqrt{\\frac{1-\\text{cos}(x)}{1+\\text{cos}(x)}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"202\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30b5\u30a4\u30f3\u3068\u30b3\u30b5\u30a4\u30f3\u306e\u52a0\u7b97\u3068\u6e1b\u7b97: <\/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-457b2949084f43244b619fd965e403f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}(x)+\\text{sen}(y)=2\\text{sen}\\left(\\frac{x+y}{2} \\right)\\text{cos}\\left(\\frac{x-y}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"347\" 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-4ff2373c8559ef4bebc00a31c7c8f2ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}(x)-\\text{sen}(y)=2\\text{cos}\\left(\\frac{x+y}{2} \\right)\\text{sen}\\left(\\frac{x-y}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"347\" 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-625d75c4be2e5bbaca73e2a3f1e1980b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos}(x)+\\text{cos}(y)=2\\text{cos}\\left(\\frac{x+y}{2} \\right)\\text{cos}\\left(\\frac{x-y}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"344\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0a498d3701c9c87123c269c81d266d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos}(x)-\\text{cos}(y)=-2\\text{sen}\\left(\\frac{x+y}{2} \\right)\\text{sen}\\left(\\frac{x-y}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"360\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30b5\u30a4\u30f3\u3068\u30b3\u30b5\u30a4\u30f3\u306e\u7a4d: <\/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-78ab2bb9d2bc291a1f7e4c9e329d893e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}(x)\\cdot \\text{sen}(y)=\\frac{1}{2}\\Bigl[\\text{cos}(x-y)-\\text{cos}(x+y)\\Bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"338\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40daecfe989acfa36adb6772d193d027_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos}(x)\\cdot \\text{cos}(y)=\\frac{1}{2}\\Bigl[\\text{cos}(x+y)+\\text{cos}(x-y)\\Bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"336\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b01d45ae9c7b57d25e2bd1bdfea9dba9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}(x)\\cdot \\text{cos}(y)=\\frac{1}{2}\\Bigl[\\text{sen}(x+y)+\\text{sen}(x-y)\\Bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"339\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p>\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u6b63\u78ba\u306b\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4ee5\u4e0b\u306b\u6bb5\u968e\u7684\u306a\u4f8b\u3092\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-limite-trigonometrico\"><\/span>\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306e\u4f8b\u3092\u4f7f\u7528\u3057\u3066\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\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-83fe05cfbae51406227f863405374405_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{tan}(x)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"83\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u3092\u8a08\u7b97\u3057\u3088\u3046\u3068\u3059\u308b\u3068\u3001\u30bc\u30ed\u9593\u306e\u30bc\u30ed\u306e\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-29fd7943ebb7d7c4ecc7886207c4a1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{tan}(x)}{x}=\\frac{\\text{tan}(0)}{0}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"195\" style=\"vertical-align: -12px;\"><\/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\/\u30bb\u3099\u30ed\u9593\u306e\u30bb\u3099\u30ed-0-0-\u4e0d\u5b9a\/\">\u30bc\u30ed\u9593\u306e\u30bc\u30ed\u5236\u9650<\/a><\/span><\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6975\u9650\u3092\u89e3\u304f\u305f\u3081\u306b\u4e09\u89d2\u95a2\u6570\u3092\u5909\u63db\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6b63\u63a5\u95a2\u6570\u306f\u30b5\u30a4\u30f3\u3092\u30b3\u30b5\u30a4\u30f3\u3067\u5272\u3063\u305f\u3082\u306e\u306b\u7b49\u3057\u3044\u305f\u3081\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-dbf6d65fa67f0a2161bd99ee7431f015_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x)=\\cfrac{\\text{sen}(x)}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"124\" 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-24793b3f48b399e9fd64b2eb6758f0c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{tan}(x)}{x}=\\lim_{x\\to 0}\\frac{\\displaystyle\\frac{\\text{sen}(x)}{\\text{cos}(x)}}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"195\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5206\u6570\u306e\u6027\u8cea\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3067\u95a2\u6570\u3092\u7a4d\u3068\u3057\u3066\u8868\u73fe\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-fe877e223e062371ef4aa551372cfa69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\frac{\\displaystyle\\frac{a}{b}}{\\displaystyle\\frac{c}{d}}=\\frac{a\\cdot d}{b\\cdot c}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"73\" style=\"vertical-align: -30px;\"><\/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-dd10c321c3b7dc40698b318c7187a3c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0}\\frac{\\displaystyle\\frac{\\text{sen}(x)}{\\text{cos}(x)}}{\\displaystyle\\frac{x}{1}}=\\lim_{x\\to 0}{\\frac{\\text{sen}(x)\\cdot 1}{\\text{cos}(x) \\cdot x}=\\\\[6ex]\\displaystyle =\\lim_{x\\to 0}{\\frac{\\text{sen}(x)}{x\\text{cos}(x)}=\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot \\frac{1}{\\text{cos}(x)}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"145\" width=\"282\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u9650\u754c\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u4f7f\u7528\u3057\u3066\u30012 \u3064\u306e\u4e57\u7b97\u95a2\u6570\u306e\u9650\u754c\u3092 2 \u3064\u306e\u9650\u754c\u306e\u7a4d\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-38f278cf96ac97997db5ffe530037582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot\\frac{1}{\\text{cos}(x)}=\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot\\lim_{x\\to 0}\\frac{1}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"350\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u4e0a\u3067\u793a\u3057\u305f\u3088\u3046\u306b\u3001\u6700\u521d\u306e\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306f 1 \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-14300dcf4010d732b8568b9b4460b5e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8ac5a01bca48ac7a961a99be694dcd8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot\\lim_{x\\to 0}\\frac{1}{\\text{cos}(x)}=1\\cdot\\lim_{x\\to 0}\\frac{1}{\\text{cos}(x)}=\\lim_{x\\to 0}\\frac{1}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"413\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u8a08\u7b97\u3092\u884c\u3046\u3060\u3051\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-24b950800435e32f07649e25afd6d68e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x\\to 0}\\frac{1}{\\text{cos}(x)}=\\frac{1}{\\text{cos}(0)}=\\frac{1}{1}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"225\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-limites-trigonometricos\"><\/span>\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u306b\u95a2\u3059\u308b\u6f14\u7fd2\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>\u6b21\u306e\u4e09\u89d2\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-730128e3fffaf36349ed1c2db19d8796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{2x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"91\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u76f4\u63a5\u8a55\u4fa1\u306b\u3088\u3063\u3066\u4e09\u89d2\u95a2\u6570\u306e\u6975\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-b46144b4ff38b63a3c428b5aa60ffb5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{2x}=\\frac{\\text{sen}(4\\cdot 0)}{2\\cdot 0}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"224\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u30bc\u30ed\u30aa\u30fc\u30d0\u30fc\u30bc\u30ed\u306e\u4e0d\u78ba\u5b9a\u6027\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306b\u5909\u63db\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u6b21\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u5206\u6bcd\u306e x \u3092\u305d\u306e\u307e\u307e\u306b\u3057\u3066\u304a\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-66cfa67d319a268be5ac3c6eaf733240_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{2x}=\\lim_{x\\to 0}\\frac{1}{2}\\cdot\\frac{\\text{sen}(4x)}{x}=\\frac{1}{2}\\cdot\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"375\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u5206\u6570\u3092 4 \u3067\u4e57\u7b97\u3057\u3066\u9664\u7b97\u3057\u3066\u3001\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u306e\u6700\u521d\u306e\u5f0f\u3092\u9069\u7528\u3067\u304d\u308b\u5f0f\u3092\u53d6\u5f97\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-caa05571515d0dbc716d6e8cb6b0be0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\frac{1}{2}\\lim_{x\\to 0}\\frac{\\text{sen}(4x)\\cdot 4}{x\\cdot 4}=\\frac{1}{2}\\cdot 4 \\cdot \\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{4x}=2\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{4x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"418\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u6700\u521d\u306b\u793a\u3057\u305f\u516c\u5f0f\u3092\u9069\u7528\u3057\u3066\u3001\u4e09\u89d2\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-e8b276a8e0f8bf93f3ea2b7d0158adbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(kx)}{kx}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"125\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e21a4ad74086fda398299e2d83c9a052_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2\\lim_{x\\to 0}\\frac{\\text{sen}(4x)}{4x}=2\\cdot 1=\\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"190\" 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 2<\/h3>\n<p>\u6b21\u306e\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b6eb2bc6fa65e96cfe55e695b93b2cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)+\\text{tan}(x)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"153\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u3092\u898b\u3064\u3051\u3088\u3046\u3068\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e4a361830bf074dfb37219d1288c315_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)+\\text{tan}(x)}{x}=\\frac{\\text{sen}(0)+\\text{tan}(0)}{0}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"334\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u304b\u3057\u3001\u4e0d\u5b9a\u5f62\u30bc\u30ed\u306f\u30bc\u30ed\u306b\u9054\u3059\u308b\u3053\u3068\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u3092\u30b5\u30a4\u30f3\u3068\u30b3\u30b5\u30a4\u30f3\u306e\u5546\u306b\u5909\u63db\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-e8dbbefdca880d5806977d6b13b473b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)+\\text{tan}(x)}{x}=\\lim_{x\\to 0}\\frac{\\displaystyle\\text{sen}(x)+\\frac{\\text{sen}(x)}{\\text{cos}(x)}}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> x \u306e\u30b3\u30b5\u30a4\u30f3\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-53452abaa54f3c7e46b75965500221ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\left(\\displaystyle\\text{sen}(x)+\\frac{\\text{sen}(x)}{\\text{cos}(x)}\\right)\\cdot\\text{cos}(x)}{x\\cdot\\text{cos}(x)}=\\lim_{x\\to 0}\\frac{\\text{sen}(x)\\text{cos}(x)+\\text{sen}(x)}{x\\cdot\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"67\" width=\"469\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u5b50\u306b\u5171\u901a\u56e0\u6570\u3092\u3068\u308a\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u3092 2 \u3064\u306b\u5206\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-eeaa601256f134072260480b64210950_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)(\\text{cos}(x)+1)}{x\\cdot\\text{cos}(x)}=\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot\\lim_{x\\to 0}\\frac{\\text{cos}(x)+1}{\\text{cos}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"408\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306e\u7d50\u679c\u3092\u6c42\u3081\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7259ba5ebcb847c0953947ca2fb1d219_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}\\cdot\\lim_{x\\to 0}\\frac{\\text{cos}(x)+1}{\\text{cos}(x)}=1\\cdot\\frac{\\text{cos}(0)+1}{\\text{cos}(0)} =\\frac{1+1}{1}=\\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"435\" style=\"vertical-align: -17px;\"><\/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> x \u304c\u30bc\u30ed\u306b\u8fd1\u3065\u304f\u306b\u3064\u308c\u3066\u3001\u6b21\u306e\u4e09\u89d2\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-f9da1c65931e93b840821e76bc20d629_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{tan}(x)-\\text{sen}{(x)}}{3x\\cdot\\text{tan}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"153\" 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\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u76f4\u63a5\u8a08\u7b97\u3092\u884c\u3046\u3053\u3068\u3067\u30010 \u306e\u9593\u306e\u4e0d\u5b9a\u6975\u9650 0 \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-67e20b7fd699b38122cab6a801cc5655_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}}\\frac{\\text{tan}(x)-\\text{sen}(x)}{3x\\cdot\\text{tan}(x)}=\\frac{\\text{tan}(0)-\\text{sen}(0)}{3\\cdot 0\\cdot\\text{tan}(0)}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"334\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u5404\u9805\u3092 x \u306e\u6b63\u63a5\u3067\u5272\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6975\u9650\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-d9036c709f0cf05a0e1d3e53a1f81af8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\displaystyle\\frac{\\text{tan}(x)}{\\text{tan}(x)}-\\frac{\\text{sen}(x)}{\\text{tan}(x)}}{\\displaystyle\\frac{3x\\cdot\\text{tan}(x)}{\\text{tan}(x)}}=\\lim_{x\\to 0}\\frac{\\displaystyle 1-\\frac{\\text{sen}(x)}{\\text{tan}(x)}}{3x}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"305\" style=\"vertical-align: -40px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7b2c 2 \u306b\u3001\u57fa\u672c\u7684\u306a\u4e09\u89d2\u95a2\u6570\u306e\u6052\u7b49\u5f0f\u304b\u3089\u3001\u5206\u5b50\u306e\u5206\u6570\u304c x \u306e\u30b3\u30b5\u30a4\u30f3\u306b\u7b49\u3057\u3044\u3068\u63a8\u5b9a\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-2c4733e791e3ea6006f69e25c3db9f99_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tan}(x)=\\cfrac{\\text{sen}(x)}{\\text{cos}(x)}\\ \\longrightarrow \\ \\text{cos}(x)=\\cfrac{\\text{sen}(x)}{\\text{tan}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"297\" 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-061c6b3972071af7e6227fad37ec4019_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\displaystyle 1-\\frac{\\text{sen}(x)}{\\text{tan}(x)}}{3x}=\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{3x}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"255\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u7406\u8ad6\u3067\u793a\u3055\u308c\u3066\u3044\u308b 2 \u756a\u76ee\u306e\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u3068\u3001\u6975\u9650\u3092\u7c21\u5358\u306b\u89e3\u304f\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-51835176b411ca1ec4f37835a83685fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"146\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1ee20bc86ad7559fcda3d6bad3c9b27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{3x}=\\lim_{x\\to 0}\\frac{1}{3}\\cdot \\frac{1-\\text{cos}(x)}{x}=\\\\[4ex]\\displaystyle =\\frac{1}{3}\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=\\frac{1}{3}\\cdot 0=\\bm{0}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"101\" width=\"294\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u70b9 x=0 \u306b\u304a\u3051\u308b\u6b21\u306e\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306e\u89e3\u3092\u6c42\u3081\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7cbd12a8e0f0416e55baa4799395661_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{2\\text{sen}(x)\\text{cos}(x)\\text{sen}(5x)}{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"196\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6975\u9650\u3092\u89e3\u3053\u3046\u3068\u3059\u308b\u3068\u3001\u4e0d\u5b9a\u5f62 0\/0 \u304c\u898b\u3064\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-0d1052ddde97caedf5e563febc26fad7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{2\\text{sen}(x)\\text{cos}(x)\\text{sen}(5x)}{x^2}=\\frac{2\\text{sen}(0)\\text{cos}(0)\\text{sen}(5\\cdot 0)}{0^2}=\\frac{0}{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"432\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5206\u5b50\u306e\u4ee3\u6570\u5f0f\u306f\u3001\u500d\u89d2\u306e\u6b63\u5f26\u306e\u4e09\u89d2\u95a2\u6570\u306e\u6052\u7b49\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u66f8\u304d\u76f4\u3059\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-2a7acdc1773c3d7fd430328604cee7d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(2x)=2\\text{sen}(x)\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"185\" style=\"vertical-align: -5px;\"><\/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-4426a183bebf1739384bda14bcd59dc7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{2\\text{sen}(x)\\text{cos}(x)\\text{sen}(5x)}{x^2}=\\lim_{x\\to 0}\\frac{\\text{sen}(2x)\\text{sen}(5x)}{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"371\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u3092\u7a4d\u306b\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fc650634075435b782f1e7b921b77c02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(2x)\\cdot \\text{sen}(5x)}{x\\cdot x}=\\\\[4ex]\\displaystyle =\\lim_{x\\to 0}\\frac{\\text{sen}(2x)}{x}\\cdot\\frac{\\text{sen}(5x)}{x}=\\\\[4ex]\\displaystyle =\\lim_{x\\to 0}\\frac{\\text{sen}(2x)}{x}\\cdot\\lim_{x\\to 0}\\frac{\\text{sen}(5x)}{x}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"163\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u9650\u754c\u306e\u7279\u6027\u3092\u9069\u7528\u3057\u3066\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\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-7c26ba3032828541e69e4bd976ac4f96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(2x)}{x}\\cdot\\lim_{x\\to 0}\\frac{\\text{sen}(5x)}{x}=\\\\[4ex]\\displaystyle =2\\cdot \\lim_{x\\to 0}\\frac{\\text{sen}(2x)}{2x}\\cdot 5\\cdot \\lim_{x\\to 0}\\frac{\\text{sen}(5x)}{5x}=\\\\[4ex]\\displaystyle =2\\cdot 1\\cdot 5\\cdot 1=\\bm{10}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"141\" width=\"278\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u78ba\u8a8d\u3057\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306b\u95a2\u3059\u308b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u7df4\u7fd2\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 \u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u3068\u306f\u4f55\u3067\u3059\u304b? \u4e09\u89d2\u9650\u754c\u306f\u3001\u4e09\u89d2\u95a2\u6570\u3067\u8a08\u7b97\u3055\u308c\u308b\u9650\u754c\u3067\u3059 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/\"> <span class=\"screen-reader-text\">\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c<\/span> \u3082\u3063\u3068\u8aad\u3080 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[28],"tags":[],"class_list":["post-19","post","type-post","status-publish","format-standard","hentry","category-28"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c -<\/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\/\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c -\" \/>\n<meta property=\"og:description\" content=\"\u3053\u3053\u3067\u306f\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u78ba\u8a8d\u3057\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306b\u95a2\u3059\u308b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u7df4\u7fd2\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 \u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u3068\u306f\u4f55\u3067\u3059\u304b? \u4e09\u89d2\u9650\u754c\u306f\u3001\u4e09\u89d2\u95a2\u6570\u3067\u8a08\u7b97\u3055\u308c\u308b\u9650\u754c\u3067\u3059 &hellip; \u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c \u3082\u3063\u3068\u8aad\u3080 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ja\/\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T11:08:30+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14300dcf4010d732b8568b9b4460b5e0_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%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/\",\"url\":\"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/\",\"name\":\"\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c -\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/ja\/#website\"},\"datePublished\":\"2023-09-17T11:08:30+00:00\",\"dateModified\":\"2023-09-17T11:08:30+00:00\",\"author\":{\"@id\":\"https:\/\/mathority.org\/ja\/#\/schema\/person\/c5d030d51df9fedd3b375fd3c5be378e\"},\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/#breadcrumb\"},\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/ja\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\"}]},{\"@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":"\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c -","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\/\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\/","og_locale":"ja_JP","og_type":"article","og_title":"\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c -","og_description":"\u3053\u3053\u3067\u306f\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u3092\u89e3\u304f\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u78ba\u8a8d\u3057\u3001\u4e09\u89d2\u95a2\u6570\u306e\u6975\u9650\u306b\u95a2\u3059\u308b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u7df4\u7fd2\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 \u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\u3068\u306f\u4f55\u3067\u3059\u304b? \u4e09\u89d2\u9650\u754c\u306f\u3001\u4e09\u89d2\u95a2\u6570\u3067\u8a08\u7b97\u3055\u308c\u308b\u9650\u754c\u3067\u3059 &hellip; \u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c \u3082\u3063\u3068\u8aad\u3080 &raquo;","og_url":"https:\/\/mathority.org\/ja\/\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c\/","article_published_time":"2023-09-17T11:08:30+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14300dcf4010d732b8568b9b4460b5e0_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%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/","url":"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/","name":"\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c -","isPartOf":{"@id":"https:\/\/mathority.org\/ja\/#website"},"datePublished":"2023-09-17T11:08:30+00:00","dateModified":"2023-09-17T11:08:30+00:00","author":{"@id":"https:\/\/mathority.org\/ja\/#\/schema\/person\/c5d030d51df9fedd3b375fd3c5be378e"},"breadcrumb":{"@id":"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/#breadcrumb"},"inLanguage":"ja","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e9%99%90%e7%95%8c\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/ja\/"},{"@type":"ListItem","position":2,"name":"\u4e09\u89d2\u95a2\u6570\u306e\u9650\u754c"}]},{"@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\/19","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=19"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/posts\/19\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/media?parent=19"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/categories?post=19"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/ja\/wp-json\/wp\/v2\/tags?post=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}