{"id":28,"date":"2010-11-20T00:00:16","date_gmt":"2010-11-19T15:00:16","guid":{"rendered":"http:\/\/math.co.jp\/blog\/?p=28"},"modified":"2011-01-07T13:13:24","modified_gmt":"2011-01-07T04:13:24","slug":"%e7%b2%be%e5%af%86%e3%81%aa%e8%a8%88%e7%ae%97%e3%81%a8%e5%a4%a7%e9%9b%91%e6%8a%8a%e3%81%aa%e8%a8%88%e7%ae%97","status":"publish","type":"post","link":"https:\/\/math.co.jp\/blog\/?p=28","title":{"rendered":"\u7cbe\u5bc6\u306a\u8a08\u7b97\u3068\u5927\u96d1\u628a\u306a\u8a08\u7b97"},"content":{"rendered":"<p>\u9ad8\u6821\u6570\u5b66\u3092\u6559\u3048\u3066\u3044\u308b\u3068\u3001\u5fc5\u8981\u3067\u3082\u6559\u3048\u308b\u6a5f\u4f1a\u304c\u5c11\u306a\u3044\u3082\u306e\u3084\u8db3\u308a\u306a\u3044\u90e8\u5206\u304c\u3044\u304f\u3064\u3082\u3042\u308b\u306e\u3092\u611f\u3058\u308b\u3002\u305d\u306e\u4e2d\u306e1\u3064\u3068\u3057\u3066\u3001\u300c\u8a08\u7b97\u300d\u306b\u30b9\u30dd\u30c3\u30c8\u3092\u3042\u3066\u3066\u307f\u3088\u3046\u3002<br \/>\n\u8a66\u9a13\u306e\u7b54\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u8a08\u7b97\u3059\u308b\u3068\u304d\u306f\u3001\u300c\u7cbe\u5bc6\u306a\u8a08\u7b97\u300d\u304c\u8981\u6c42\u3055\u308c\u308b\u3002\u4f8b\u3048\u3070\u30012 \u6b21\u65b9\u7a0b\u5f0f x^2 -3=0 \u306e\u89e3\u306f \u00b1\u221a3 \u3059\u306a\u308f\u3061, \u00b13^(1\/2)   \u3067\u3042\u308b\u304c\u3001\u3053\u308c\u3092 \u300c\u7d04 1.73\u300d\u3068\u304b\u300c1.73 \u304f\u3089\u3044\u300d\u306a\u3069\u3068\u66f8\u3044\u3066\u306f\u6570\u5b66\u306e\u8a66\u9a13\u3067\u306f\u70b9\u306b\u306a\u3089\u306a\u3044\u3060\u308d\u3046\u3002\u4ed6\u306b\u3082\u4f8b\u306f\u8c4a\u5bcc\u306b\u3042\u308b\u304c\u3001\u3053\u3053\u3067\u8a73\u3057\u304f\u3042\u3052\u308b\u5fc5\u8981\u306f\u306a\u3044\u3060\u308d\u3046\u3002<br \/>\n\u3053\u306e\u3088\u3046\u306a\u300c\u6b63\u78ba\u306a\u5024\u3092\u6c42\u3081\u308b\u8a08\u7b97\u300d\u3001\u3059\u306a\u308f\u3061\u3001\u300c\u7cbe\u5bc6\u306a\u8a08\u7b97\u300d\u306f\u3082\u3061\u308d\u3093\u5927\u5207\u3067\u3042\u308b\u306e\u3060\u304c\u3001\u3053\u308c\u306b\u5bfe\u3057\u300c\u5927\u96d1\u628a\u306a\u8a08\u7b97\u300d\u306f\u8efd\u8996\u3055\u308c\u304c\u3061\u306a\u611f\u3058\u304c\u3059\u308b\u3002\u3053\u3053\u3067\u3044\u3046\u300c\u5927\u96d1\u628a\u306a\u8a08\u7b97\u300d\u3068\u306f<br \/>\nn \u304c\u5341\u5206\u5927\u304d\u3044\u3068\u304d\u30003^n \u306f 2^n \u3088\u308a\u306f\u308b\u304b\u306b\u5927\u304d\u3044\u3068\u304b\u3001\u6975\u9650<\/p>\n<p>lim_(x\u2192\u221e) (x^3 + 2x^2 + 3x +4)\/(4x^3 + 3x^2 +2x +1)<\/p>\n<p>\u306b\u3064\u3044\u3066\u306f\u3001\u5206\u6bcd\u3068\u5206\u5b50\u306e\u6700\u9ad8\u6b21\u3067\u6c7a\u307e\u308b\u3068\u304b\u3001<\/p>\n<p>lim_(n\u2192\u221e) {(1^2 + 2^2 + 3^2 +\u30fb\u30fb\u30fb\u30fb+ n^2)(1^3 + 2^3 + 3^3 + \u30fb\u30fb\u30fb\u30fb + n^3)}\/n^a<\/p>\n<p>\u304c 0 \u4ee5\u5916\u306e\u5024\u306b\u53ce\u675f\u3059\u308b\u3088\u3046\u306a\u5b9f\u6570 a \u306f\u5206\u5b50\u306e\u6b21\u6570\u3060\u3051\u3092\u8003\u3048\u3066 a=7 \u3067\u3042\u308b\u3068\u304b\u3002<br \/>\n\u307e\u305f\u3001<br \/>\nx&gt;1 \u306e\u3068\u304d\u3000x^3 +2x^2 + (x\/(x^2+1)) &gt;3<br \/>\n\u3067\u3042\u308b\u3001\u306e\u3088\u3046\u306b\u304d\u3061\u3093\u3068\u8a08\u7b97\u3057\u306a\u3044\u3067\u5927\u96d1\u628a\u306b\u69d8\u5b50\u3092\u8abf\u3079\u308b\u8a08\u7b97\u3067\u3042\u308b\u3002<br \/>\n\u3053\u308c\u3089\u306f\u3001\u8a66\u9a13\u306e\u7b54\u6848\u3068\u3057\u3066\u306f\u66f8\u304b\u308c\u308b\u3053\u3068\u306f\u5c11\u306a\u3044\u304b\u3001\u5168\u304f\u306a\u3044\u3002\u305d\u308c\u306f\u3001\u8a66\u9a13\u3067\u306f\u300c\u6b63\u78ba\u306a\u5024\u300d\u300c\u7cbe\u5bc6\u306a\u8a08\u7b97\u7d50\u679c\u300d\u304c\u6700\u7d42\u7684\u306b\u8981\u6c42\u3055\u308c\u308b\u304b\u3089\u3067\u3042\u308b\u3002\u305d \u3053\u3067\u3001\u300c\u306a\u30fc\u3093\u3060\u3001\u7b54\u6848\u306b\u306f\u3044\u3089\u306a\u3044\u306e\u304b\u301c\u300d\u3068\u306a\u3063\u3066\u3057\u307e\u3063\u3066\u3001\u300c\u6700\u77ed\u7d4c\u8def\u3067\u5408\u683c\u3057\u3088\u3046\u300d\u3068\u601d\u3063\u3066\u3044\u308b\u53d7\u9a13\u751f\u306b\u306f\u656c\u9060\u3055\u308c\u308b\u3002<br \/>\n\u3068\u3053\u308d\u304c\u3001\u3053\u308c\u3089\u306e\u300c\u5927\u96d1\u628a\u306a\u8a08\u7b97\u300d\u306f\u65b9\u91dd\u3092\u7acb\u3066\u308b\u4e0a\u3067\u304d\u308f\u3081\u3066\u91cd\u8981\u3067\u3042\u308b\u3002\u95a2\u6570 f(x,y)=\u30fb\u30fb\u30fb\u30fb\u3000\u306e\u6700\u5c0f\u5024\u3092\u6c42\u3081\u305f\u3044\u5834\u5408\u306b\u3001\u300c\u306a\u305c\u3001\u5148\u306b   x \u3067\u5fae\u5206\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001y \u3067\u5fae\u5206\u3057\u305f\u306e\u304b?\u300d\u3000\u3068\u304b\u3001\u3068\u3044\u3046\u306e\u306f\u3001\u300c\u5927\u96d1\u628a\u306b\u982d\u306e\u4e2d\u3067\u5148\u3005\u306e\u8a08\u7b97\u3092\u898b\u7a4d\u3082\u3063\u3066\u3069\u3061\u3089\u304c\u3088\u3044\u304b\u3092\u5224\u65ad\u3057\u305f\u304b\u3089\u3067\u3042\u308b\u3002<br \/>\nlim_(n\u2192\u221e) (log(3^n + 2^n ))\/n \u3092\u6c42\u3081\u308b\u3068\u304d\u306b\u3001\u306a\u305c\u6700\u521d\u306b<\/p>\n<p>lim_(n\u2192\u221e) (log(3^n + 2^n ))\/n = lim_(n\u2192\u221e) log (3^n (1+(2\/3)^n))\/n<\/p>\n<p>\u306e\u3088\u3046\u306b log \u5185\u3092 3^n \u3067\u304f\u304f\u308b\u306e\u304b\u306f n \u304c\u5927\u304d\u3044\u3068\u304d 3^n +2^n \u22523^n \u3068\u8003\u3048\u305f\u304b\u3089\u3067\u3042\u308b\u3002<br \/>\n\u3053\u306e\u300c\u5927\u96d1\u628a\u306a\u8a08\u7b97\u300d\u306f\u5927\u96d1\u628a\u3067\u3042\u308b\u4ee3\u308f\u308a\u306b\u65e9\u304f\u306a\u304f\u3066\u306f\u306a\u3089\u306a\u3044\u3002\u3044\u304f\u3064\u304b\u306e\u65b9\u91dd\u304c\u305f\u3064\u554f\u984c\u306b\u304a\u3044\u3066\u3001\u305d\u308c\u3092\u4e00\u3064\u4e00\u3064\u4e01\u5be7\u306b\u8a08\u7b97\u3057\u3066\u307f\u3066\u3001\u300c\u3053\u308c\u306f\u3088\u3044\u300d\u300c\u3053\u308c\u306f\u3060\u3081\u300d\u3068\u5224\u65ad\u3057\u3066\u3044\u305f\u306e\u3067\u306f\u6642\u9593\u304c\u304b\u304b\u308a\u3059\u304e\u308b\u3002<br \/>\n\u300c\u5927\u96d1\u628a\u306a\u8a08\u7b97\u300d\u306f\u8a66\u9a13\u306e\u89e3\u7b54\u3092\u652f\u3048\u308b\u300c\u898b\u3048\u306a\u3044\u90e8\u5206\u3067\u306e\u4f5c\u696d\u300d\u3067\u3042\u308b\u304b\u3089\u3001\u554f\u984c\u96c6\u306e\u89e3\u7b54\u3092\u6697\u8a18\u3057\u3066\u3044\u308b\u3060\u3051\u306e\u52c9\u5f37\u3067\u306f\u8eab\u306b\u7740\u304b\u306a\u3044\u3002\u672c\u5f53\u306f\u3001\u6570\u5b66\u306e\u3067\u304d\u308b\u4eba\u306e\u89e3\u7b54\u304c\u3067\u304d\u308b\u307e\u3067\u3092\u300c\u751f\u300d\u3067\u898b\u3066\u3044\u308b\u306e\u304c\u3088\u3044\u306e\u3067\u3042\u308b\u304c\u30fb\u30fb\u30fb\u30fb\u3002<\/p>\n<p>\u3053\u308c\u3089\u306b\u3064\u3044\u3066\u306f\u3001\u4eca\u57f7\u7b46\u4e2d\u306e\u672c\u306b\u3082\u66f8\u304f\u306e\u3067\u3001\u51fa\u7248\u6642\u671f\u304c\u306f\u3063\u304d\u308a\u3059\u308c\u3070\u307e\u305f\u3053\u306e\u5834\u3067\u5831\u544a\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9ad8\u6821\u6570\u5b66\u3092\u6559\u3048\u3066\u3044\u308b\u3068\u3001\u5fc5\u8981\u3067\u3082\u6559\u3048\u308b\u6a5f\u4f1a\u304c\u5c11\u306a\u3044\u3082\u306e\u3084\u8db3\u308a\u306a\u3044\u90e8\u5206\u304c\u3044\u304f\u3064\u3082\u3042\u308b\u306e\u3092\u611f\u3058\u308b\u3002\u305d\u306e\u4e2d\u306e1\u3064\u3068\u3057\u3066\u3001\u300c\u8a08\u7b97\u300d\u306b\u30b9\u30dd\u30c3\u30c8\u3092\u3042\u3066\u3066\u307f\u3088\u3046\u3002 \u8a66\u9a13\u306e\u7b54\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u8a08\u7b97\u3059\u308b\u3068\u304d\u306f\u3001\u300c\u7cbe\u5bc6\u306a\u8a08\u7b97\u300d\u304c\u8981\u6c42\u3055\u308c\u308b\u3002\u4f8b\u3048 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-28","post","type-post","status-publish","format-standard","hentry","category-4"],"_links":{"self":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/28","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=28"}],"version-history":[{"count":2,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/28\/revisions"}],"predecessor-version":[{"id":46,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/28\/revisions\/46"}],"wp:attachment":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=28"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=28"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=28"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}