{"published":"2019-01-19 22:34:24","author_name":"potisan","provider_url":"https://hatena.blog","title":"\u53ce\u675f\u3059\u308b\u6570\u5217\u306e\u6975\u9650\u5024\u306e\u03b5-N\u8ad6\u6cd5\u306eTeX\u30b3\u30fc\u30c9","image_url":"https://chart.apis.google.com/chart?cht=tx&chl=%5Cforall%5Cepsilon%3E0%2C%5Cexists%20N%20%5Cin%5Ctextbf%7BN%7D%2C%20%5Cforall%20n%5Cin%5Ctextbf%7BN%7D%2C%20n%3EN%5CRightarrow%20%7Ca_n-%5Calpha%7C%3C%5Cepsilon","blog_title":"potisan\u306e\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u30e1\u30e2","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fpotisan-programming-memo.hatenablog.jp%2Fentry%2F2019%2F01%2F19%2F223424\" title=\"\u53ce\u675f\u3059\u308b\u6570\u5217\u306e\u6975\u9650\u5024\u306e\u03b5-N\u8ad6\u6cd5\u306eTeX\u30b3\u30fc\u30c9 - potisan\u306e\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u30e1\u30e2\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","blog_url":"https://potisan-programming-memo.hatenablog.jp/","provider_name":"Hatena Blog","height":"190","categories":["\u6570\u5b66"],"version":"1.0","author_url":"https://blog.hatena.ne.jp/potisan/","width":"100%","type":"rich","url":"https://potisan-programming-memo.hatenablog.jp/entry/2019/01/19/223424","description":"lim\u8868\u8a18 \u03b5-N\u8ad6\u6cd5\u306b\u3088\u308b\u8868\u8a18 \u592a\u5b57\u3001N\u306e\u03b5\u4f9d\u5b58\u3092\u7121\u8996 \u9ed2\u677f\u592a\u5b57\u3001N\u306e\u03b5\u4f9d\u5b58\u3092\u7121\u8996 \u592a\u5b57\u3001N\u306e\u03b5\u4f9d\u5b58\u3092\u5f37\u8abf \u9ed2\u677f\u592a\u5b57\u3001N\u306e\u03b5\u4f9d\u5b58\u3092\u5f37\u8abf \u53c2\u8003 \u53ce\u675f\u3059\u308b\u6570\u5217\u306e\u6975\u9650\u5024\u306e\u03b5-N\u8ad6\u6cd5\u306eTeX\u30b3\u30fc\u30c9\u3067\u3059\u3002 lim\u8868\u8a18 \\displaystyle\\lim_{n\\to\\infty}a_n=\\alpha \u03b5-N\u8ad6\u6cd5\u306b\u3088\u308b\u8868\u8a18 \u592a\u5b57\u3001N\u306e\u03b5\u4f9d\u5b58\u3092\u7121\u8996 \\displaystyle{}^{\\forall}\\epsilon>0,\\ ^{\\exists}N \\in\\mathbf{N},{}^{\\forall}n\\in\\mathbf{N}\\ \\[n\\geq N\\Rightarrow|a_n-\\alpha|\\leq\\ep\u2026"}