![\"\"](\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/few4.jpg\")
<\/p>\n
\u305d\u306e\u305f\u3081\u7121\u9650\u7d1a\u6570\u3067\u306f\u672b\u9805\u304c\u5b58\u5728\u305b\u305a\u3001\u7121\u9650\u306b\u8db3\u3057\u3066\u3044\u304f\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u7121\u9650\u7d1a\u6570\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n
- \n
- \\(\\displaystyle\\sum_{k=1}^{\u221e}{\\displaystyle\\frac{3n-1}{n^2}}\\)<\/li>\n<\/ul>\n
\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n
\\(\\displaystyle\\sum_{n=1}^{\u221e}{\\displaystyle\\frac{3n-1}{n^2}}\\)<\/p>\n
\\(=\\displaystyle \\lim_{ n \\to \\infty } \\displaystyle\\frac{\\displaystyle\\frac{3}{2}n(n+1)-n}{\\displaystyle\\frac{1}{6}n(n+1)(2n+1)}\\)<\/p>\n
\\(=\\displaystyle \\lim_{ n \\to \\infty } \\displaystyle\\frac{9(n+1)-6}{(n+1)(2n+1)}\\)<\/p>\n
\\(=\\displaystyle \\lim_{ n \\to \\infty } \\displaystyle\\frac{9n+3}{2n^2+3n+1}\\)<\/p>\n
\\(=\\displaystyle \\lim_{ n \\to \\infty } \\displaystyle\\frac{\\displaystyle\\frac{9}{n}+\\displaystyle\\frac{3}{n^2}}{2+\\displaystyle\\frac{3}{n}+\\displaystyle\\frac{1}{n^2}}\\)<\/p>\n
\\(=\\displaystyle\\frac{0+0}{2+0+0}\\)<\/p>\n
\\(=0\\)<\/p>\n
\u3053\u306e\u3088\u3046\u306b\u3001\u30b7\u30b0\u30de\u8a18\u53f7\u306e\u516c\u5f0f\u3068\u6975\u9650\u306e\u6027\u8cea\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n
\u7121\u9650\u7d1a\u6570\u304c\u53ce\u675f\u307e\u305f\u306f\u767a\u6563\u3059\u308b\u6761\u4ef6<\/h3>\n
\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306a\u3068\u304d\u306b\u7121\u9650\u7d1a\u6570\u306f\u53ce\u675f\u307e\u305f\u306f\u767a\u6563\u3059\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u898b\u5206\u3051\u65b9\u3068\u3057\u3066\u306f\u3001\u6570\u5217\\(\\{a_n\\}\\)\u304c0\u306b\u53ce\u675f\u3059\u308b\u304b\u3069\u3046\u304b\u3067\u5224\u65ad\u3057\u307e\u3057\u3087\u3046\u3002\\(\\displaystyle \\lim_{ n \\to \\infty } a_n\u22600\\)\u306e\u5834\u5408\u3001\u7121\u9650\u7d1a\u6570\u306f\u5fc5\u305a\u767a\u6563\u3057\u307e\u3059\u3002<\/p>\n
\u4f8b\u3048\u3070\\(\\displaystyle \\lim_{ n \\to \\infty } a_n=0.1\\)\u306e\u5834\u5408\u3001\u7121\u9650\u306b0.1\u3092\u8db3\u3059\u3068\u7b54\u3048\u306f\\(\u221e\\)\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u304c\u3001\\(\\displaystyle \\lim_{ n \\to \\infty } a_n\u22600\\)\u306e\u5834\u5408\u306f\u7121\u9650\u7d1a\u6570\u304c\u5fc5\u305a\u767a\u6563\u3059\u308b\u7406\u7531\u3067\u3059\u3002<\/p>\n
\u4e00\u65b9\u3001\\(\\displaystyle \\lim_{ n \\to \\infty } a_n=0\\)\u3067\u3042\u3063\u3066\u3082\u3001\u7121\u9650\u7d1a\u6570\u304c\u53ce\u675f\u3059\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002<\/span>\u53ce\u675f\u3059\u308b\u53ef\u80fd\u6027\u306f\u3042\u308b\u3082\u306e\u306e\u3001\u5fc5\u305a\u53ce\u675f\u3059\u308b\u3068\u306f\u9650\u3089\u306a\u3044\u306e\u3067\u3059\u3002\u7121\u9650\u7d1a\u6570\u304c\u53ce\u675f\u3059\u308b\u304b\u3069\u3046\u304b\u306b\u3064\u3044\u3066\u3001\\(\\displaystyle \\lim_{ n \\to \\infty } a_n=0\\)\u3068\u306a\u308b\u304b\u3069\u3046\u304b\u306f\u76ee\u5b89\u306e\u4e00\u3064\u3068\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n
\u305d\u308c\u3067\u306f\u4ee5\u4e0b\u306e\u7121\u9650\u7d1a\u6570\u306f\u53ce\u675f\u3059\u308b\u3067\u3057\u3087\u3046\u304b\u3001\u305d\u308c\u3068\u3082\u767a\u6563\u3059\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n
- \n
- \\(\\displaystyle\\sum_{n=1}^{\u221e}{\\displaystyle\\frac{1}{\\sqrt{n+1}+\\sqrt{n}}}\\)<\/li>\n<\/ul>\n
\\(\\displaystyle \\lim_{ n \\to \\infty } \\displaystyle\\frac{1}{\\sqrt{n+1}+\\sqrt{n}}=0\\)\u3067\u3042\u308b\u305f\u3081\u3001\u7121\u9650\u7d1a\u6570\u306f\u53ce\u675f\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u307e\u305a\u90e8\u5206\u548c\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n
![\"\"](\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/02\/kdjwh3.jpg\")
<\/p>\n\u3053\u3046\u3057\u3066\u3001\u4e00\u822c\u9805\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u306a\u304a\\(\\displaystyle \\lim_{ n \\to \\infty } (\\sqrt{n+1}-1)=\u221e\\)\u3067\u3042\u308b\u305f\u3081\u3001\u7121\u9650\u7d1a\u6570\u306f\u767a\u6563\u3057\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u6570\u5217\u306e\u6975\u9650\u304c0\u306b\u53ce\u675f\u3059\u308b\u3068\u308f\u304b\u3063\u3066\u3082\u3001\u7121\u9650\u7d1a\u6570\u3082\u53ce\u675f\u3059\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002<\/p>\n
\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u306e\u767a\u6563\u3068\u53ce\u675f\uff1a\u548c\u306e\u516c\u5f0f<\/h2>\n
\u6b21\u306b\u3001\u7b49\u6bd4\u6570\u5217\u306b\u95a2\u3059\u308b\u548c\u306e\u6975\u9650\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u3053\u3046\u3057\u305f\u6570\u5217\u3092\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u3068\u3044\u3044\u307e\u3059\u3002\u7b49\u6bd4\u6570\u5217\u306e\u4e00\u822c\u9805\u304c\\(a_n=ar^{n-1}\\)\uff08\\(a\u22600\\)\uff09\u306e\u3068\u304d\u3001\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
- \n
- \\(ar^1+ar^2+ar^3+…\\)\\(+ar^{n-1}+…\\)<\/li>\n<\/ul>\n
\u3053\u306e\u3068\u304d\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u304c\u53ce\u675f\u3059\u308b\u306e\u304b\u3001\u305d\u308c\u3068\u3082\u767a\u6563\u3059\u308b\u306e\u304b\u306f\u516c\u6bd4\\(r\\)\u306b\u3088\u3063\u3066\u5909\u5316\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\\(|r|<1\\)\u306e\u5834\u5408\u306f\u53ce\u675f\u3057\u307e\u3059\u3002\\(|r|<1\\)\u306e\u5834\u5408\u3001\u6570\u5217\u306e\u6975\u9650\u306f\u5fc5\u305a0\u306b\u306a\u308a\u3001\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u306f\u7279\u5b9a\u306e\u5024\u306b\u53ce\u675f\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n
\u306a\u304a\u3001\u7b49\u6bd4\u6570\u5217\u306e\u90e8\u5206\u548c\\(S_n\\)\u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u306b\u3088\u3063\u3066\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n
- \n
- \\(S_n=\\displaystyle\\frac{a(1-r^n)}{1-r}\\)<\/li>\n<\/ul>\n
\\(|r|<1\\)\u306e\u5834\u5408\u3001\\(\\displaystyle \\lim_{ n \\to \\infty } r^n=0\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u3067\u306e\u548c\u306f\\(\\displaystyle\\frac{a}{1-r}\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/span>\u516c\u5f0f\u3092\u899a\u3048\u306a\u304f\u3066\u3082\u3001\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u306e\u610f\u5473\u3092\u77e5\u308c\u3070\u516c\u5f0f\u3092\u305d\u306e\u3064\u3069\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n
\u4e00\u65b9\u3067\\(|r|\u22671\\)\u306e\u5834\u5408\u3001\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u306f\u767a\u6563\u3057\u307e\u3059\u3002\u6570\u5217\\(\\{a_n\\}\\)\u306f0\u306b\u53ce\u675f\u3057\u306a\u3044\u305f\u3081\u3001\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u306f\u5fc5\u305a\u767a\u6563\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n
- \n
- \\(|r|<1\\)\u306e\u5834\u5408\u306f\u53ce\u675f\uff1a\u548c\u306f\\(\\displaystyle\\frac{a}{1-r}\\)<\/li>\n
- \\(|r|\u22671\\)\u306e\u5834\u5408\u306f\u767a\u6563<\/li>\n<\/ul>\n
\u516c\u6bd4\\(r\\)\u306e\u7d76\u5bfe\u5024\u304c1\u4ee5\u4e0a\u304b\u3001\u305d\u308c\u3068\u3082\u5c0f\u3055\u3044\u306e\u304b\u306b\u7740\u76ee\u3057\u3066\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u306e\u8a08\u7b97\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u306e\u548c\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n
- \n
- \\(\\displaystyle\\sum_{n=1}^{\u221e}{\\left(\\displaystyle\\frac{1}{2}\\right)^ncos\\ n\u03c0}\\)<\/li>\n<\/ul>\n
\u3053\u306e\u5f0f\u3067\u306f\u7406\u89e3\u3057\u306b\u304f\u3044\u305f\u3081\u3001\u5b9f\u969b\u306b\\(n=1,2,3…\\)\u3068\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n
- \n
- \\(-\\displaystyle\\frac{1}{2}+\\left(\\displaystyle\\frac{1}{2}\\right)^2-\\left(\\displaystyle\\frac{1}{2}\\right)^3\\)\\(+\\left(\\displaystyle\\frac{1}{2}\\right)^4-…\\)<\/li>\n<\/ul>\n
\u3053\u306e\u3088\u3046\u306b\u521d\u9805\\(-\\displaystyle\\frac{1}{2}\\)\u3001\u516c\u6bd4\\(-\\displaystyle\\frac{1}{2}\\)\u306e\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u3068\u308f\u304b\u308a\u307e\u3059\u3002\\(|r|<1\\)\u3067\u3042\u308b\u305f\u3081\u3001\u548c\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n
\\(\\displaystyle\\frac{-\\displaystyle\\frac{1}{2}}{1-\\left(-\\displaystyle\\frac{1}{2}\\right)}\\)<\/p>\n
\\(=-\\displaystyle\\frac{1}{3}\\)<\/p>\n
\u3053\u3046\u3057\u3066\u3001\u7b54\u3048\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n
\u5faa\u74b0\u5c0f\u6570\u3092\u5206\u6570\u3078\u76f4\u3059\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u306e\u5229\u7528<\/h3>\n
\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u5faa\u74b0\u5c0f\u6570\u3092\u5206\u6570\u3078\u5909\u63db\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u3067\u3059\u3002\u5faa\u74b0\u5c0f\u6570\u306f\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u3067\u3082\u3042\u308b\u304b\u3089\u3067\u3059\u3002\u305d\u308c\u3067\u306f\u3001\\(0.353535…\\)\u3092\u5206\u6570\u3067\u8868\u3059\u3068\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n
\\(0.353535…\\)<\/p>\n
\\(=0.35+0.0035\\)\\(+0.000035+…\\)<\/p>\n
\\(=0.35+0.35\u00d7\\displaystyle\\frac{1}{100}\\)\\(+0.35\u00d7\\left(\\displaystyle\\frac{1}{100}\\right)^2+…\\)<\/p>\n
\u3053\u306e\u3088\u3046\u306b\u521d\u98050.35\u3001\u516c\u6bd4\\(\\displaystyle\\frac{1}{100}\\)\u306e\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n
\\(\\displaystyle\\frac{0.35}{1-\\displaystyle\\frac{1}{100}}\\)<\/p>\n
\\(=\\displaystyle\\frac{35}{99}\\)<\/p>\n
\u3053\u3046\u3057\u3066\u3001\u5faa\u74b0\u5c0f\u6570\u3092\u5206\u6570\u3078\u5909\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n
2\u3064\u306e\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u306e\u548c<\/h3>\n
\u305d\u308c\u3067\u306f\u30012\u3064\u306e\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u3092\u8db3\u3059\u3068\u304d\u306f\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u304c\u767a\u6563\u3059\u308b\u5834\u5408\u3001\u5f53\u7136\u306a\u304c\u3089\u7b54\u3048\u306f\\(\u221e\\)\u307e\u305f\u306f\\(-\u221e\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u7279\u5b9a\u306e\u5024\u306b\u53ce\u675f\u3059\u308b\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n
\u4f8b\u3048\u3070\\(\\displaystyle\\sum_{n=1}^{\u221e}{a_n}=A\\)\u3001\\(\\displaystyle\\sum_{n=1}^{\u221e}{b_n}=B\\)\u3068\u306a\u308b\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u8a08\u7b97\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
- \n
- \\(\\displaystyle\\sum_{n=1}^{\u221e}{(a_n+b_n)}\\)\\(=A+B\\)<\/li>\n<\/ul>\n
\u3053\u306e\u7d50\u679c\u306f\u5bb9\u6613\u306b\u7406\u89e3\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u307e\u305f\u305d\u308c\u305e\u308c\u306e\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u3092\\(k\\)\u500d\u3001\\(l\\)\u500d\u3059\u308b\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u8a08\u7b97\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
- \n
- \\(\\displaystyle\\sum_{n=1}^{\u221e}{(ka_n+lb_n)}\\)\\(=kA+lB\\)<\/li>\n<\/ul>\n
\u7121\u9650\u7b49\u6bd4\u7d1a\u6570\u304c\u8907\u6570\u5b58\u5728\u3059\u308b\u5834\u5408\u3067\u3042\u3063\u3066\u3082\u3001\u8a08\u7b97\u65b9\u6cd5\u306f\u5909\u308f\u308a\u307e\u305b\u3093\u3002\u305d\u308c\u305e\u308c\u306e\u6570\u5217\u306b\u3064\u3044\u3066\u6975\u9650\u3092\u8a08\u7b97\u3057\u305f\u5f8c\u3001\u304b\u3051\u7b97\u3068\u8db3\u3057\u7b97\u3092\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n
\u53ce\u675f\u3084\u767a\u6563\u306b\u7740\u76ee\u3057\u3066\u7121\u9650\u7d1a\u6570\u306e\u8a08\u7b97\u3092\u884c\u3046<\/h2>\n
\u7121\u9650\u7d1a\u6570\u306e\u8a08\u7b97\u3067\u306f\u3001\u53ce\u675f\u307e\u305f\u306f\u767a\u6563\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u7121\u9650\u7d1a\u6570\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u90e8\u5206\u548c\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u90e8\u5206\u548c\u3092\u5f97\u305f\u5f8c\u306b\u6570\u5217\u306e\u6975\u9650\u3092\u5229\u7528\u3059\u308b\u306e\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u7121\u9650\u7d1a\u6570\u306e\u8a08\u7b97\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
\u306a\u304a\u3001\u6570\u5217\u306e\u6975\u9650\u304c0\u4ee5\u5916\u306e\u5834\u5408\u3001\u7121\u9650\u7d1a\u6570\u306f\u5fc5\u305a\u767a\u6563\u3057\u307e\u3059\u3002\u4e00\u65b9\u3067\u6570\u5217\u306e\u6975\u9650\u304c0\u306b\u306a\u308b\u5834\u5408\u3001\u7121\u9650\u7d1a\u6570\u306f\u53ce\u675f\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u5b9f\u969b\u306b\u53ce\u675f\u3059\u308b\u304b\u3069\u3046\u304b\u306f\u8a08\u7b97\u3057\u306a\u3051\u308c\u3070\u308f\u304b\u308a\u307e\u305b\u3093\u3002<\/p>\n
\u307e\u305f\u7121\u9650\u7b49\u6bd4\u6570\u5217\u306e\u8a08\u7b97\u3082\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u516c\u6bd4\\(r\\)\u306b\u7740\u76ee\u3059\u308b\u3053\u3068\u3067\u53ce\u675f\u3059\u308b\u306e\u304b\u3001\u305d\u308c\u3068\u3082\u767a\u6563\u3059\u308b\u306e\u304b\u5224\u65ad\u3059\u308b\u306e\u3067\u3059\u3002\u306a\u304a\u7121\u9650\u7d1a\u6570\u304c\u53ce\u675f\u3059\u308b\u5834\u5408\u3001\u548c\u306e\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u7b54\u3048\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n
\u30b7\u30b0\u30de\u8a18\u53f7\u3092\u7528\u3044\u308b\u8a08\u7b97\u3092\u767a\u5c55\u3055\u305b\u305f\u6570\u5217\u304c\u7121\u9650\u7d1a\u6570\u3067\u3059\u3002\u30b7\u30b0\u30de\u8a18\u53f7\u3092\u7528\u3044\u3066\u8a08\u7b97\u3057\u305f\u5f8c\u3001\u6570\u5217\u306e\u6975\u9650\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u7b54\u3048\u3092\u5f97\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u6570\u5217\u306e\u8a08\u7b97\u3067\u306f\u30b7\u30b0\u30de\u8a18\u53f7\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u304c\u3072\u3093\u3071\u3093\u306b\u3042\u308a\u307e\u3059\u3002\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u7b2c\\(n\\)\u9805\u307e\u3067\u8db3\u3059\u306e\u3067\u3059\u3002 \u305d\u308c\u3067\u306f\u3001\u7b2c\\(n\\)\u9805\u3067\u306f\u306a\u304f\u7121\u9650\u5927\u307e\u3067\u8db3\u3059\u5834\u5408\u306f\u3069\u306e\u3088\u3046\u306a\u7d50\u679c\u306b\u306a\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u306e\u3088\u3046\u306a\u6570\u5217\u3092\u7121\u9650\u7d1a\u6570\u3068\u3044 […]<\/p>\n","protected":false},"author":1,"featured_media":12680,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-12655","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-h-math"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12655","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/comments?post=12655"}],"version-history":[{"count":15,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12655\/revisions"}],"predecessor-version":[{"id":12724,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/12655\/revisions\/12724"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/12680"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=12655"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=12655"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=12655"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
- \\(\\displaystyle\\sum_{n=1}^{\u221e}{(ka_n+lb_n)}\\)\\(=kA+lB\\)<\/li>\n<\/ul>\n
- \\(\\displaystyle\\sum_{n=1}^{\u221e}{(a_n+b_n)}\\)\\(=A+B\\)<\/li>\n<\/ul>\n
- \\(-\\displaystyle\\frac{1}{2}+\\left(\\displaystyle\\frac{1}{2}\\right)^2-\\left(\\displaystyle\\frac{1}{2}\\right)^3\\)\\(+\\left(\\displaystyle\\frac{1}{2}\\right)^4-…\\)<\/li>\n<\/ul>\n
- \\(\\displaystyle\\sum_{n=1}^{\u221e}{\\left(\\displaystyle\\frac{1}{2}\\right)^ncos\\ n\u03c0}\\)<\/li>\n<\/ul>\n
- \\(S_n=\\displaystyle\\frac{a(1-r^n)}{1-r}\\)<\/li>\n<\/ul>\n
- \\(ar^1+ar^2+ar^3+…\\)\\(+ar^{n-1}+…\\)<\/li>\n<\/ul>\n
- \\(\\displaystyle\\sum_{n=1}^{\u221e}{\\displaystyle\\frac{1}{\\sqrt{n+1}+\\sqrt{n}}}\\)<\/li>\n<\/ul>\n