{"id":1122,"date":"2015-06-22T09:33:47","date_gmt":"2015-06-22T00:33:47","guid":{"rendered":"http:\/\/www.roundown.net\/nyushi\/?p=1122"},"modified":"2021-09-09T06:37:59","modified_gmt":"2021-09-08T21:37:59","slug":"osr201403","status":"publish","type":"post","link":"https:\/\/www.roundown.net\/nyushi\/osr201403\/","title":{"rendered":"\u962a\u5927\u7406\u7cfb2014\uff1a\u7b2c3\u554f"},"content":{"rendered":"<hr \/>\n<p>\\(\\textstyle\\sum\\limits _ {n=1}^{40000} \\dfrac{1}{\\sqrt{n}}\\) \u306e\u6574\u6570\u90e8\u5206\u3092\u6c42\u3081\u3088.<\/p>\r\n<hr \/>\r\n<!--more-->\r\n<h2>\u3010 \u89e3 \u7b54 \u3011<\/h2>\r\n<p>\\(S = \\textstyle\\sum\\limits _ {n=1}^{40000} \\dfrac{1}{\\sqrt{n}}\\) \u3068\u304a\u304f.<br \/>\r\n\u95a2\u6570 \\(y = \\dfrac{1}{\\sqrt{x}}\\) \u306f \\(x \\gt 0\\) \u306b\u304a\u3044\u3066\u5358\u8abf\u6e1b\u5c11\u306a\u306e\u3067\r\n\\[\r\n\\underline{\\displaystyle\\int _ 0^{40000} \\dfrac{dx}{\\sqrt{x+1}}} _ {[1]} \\lt S \\lt 1 +\\underline{\\displaystyle\\int _ 1^{40000} \\dfrac{dx}{\\sqrt{x}}} _ {[2]} \\quad ... [3] \\ .\r\n\\]\r\n\u3053\u3053\u3067\r\n\\[\\begin{align}\r\n[1] & = \\left[ 2 \\sqrt{x+1} \\right] _ 0^{40000} \\\\\r\n& = 2 \\sqrt{40001} -2 \\gt 398 \\\\\r\n[2] & = \\left[ 2 \\sqrt{x} \\right] _ 1^{40000} \\\\\r\n& = 400 -2 = 398 \\ .\r\n\\end{align}\\]\r\n\u3057\u305f\u304c\u3063\u3066, [3] \u3068\u3042\u308f\u305b\u3066\r\n\\[\r\n398 \\lt S \\lt 399 \\ .\r\n\\]\r\n\u3088\u3063\u3066, \\(S\\) \u306e\u6574\u6570\u90e8\u5206\u306f, \\(\\underline{389}\\)<\/p>\r\n","protected":false},"excerpt":{"rendered":"\\(\\textstyle\\sum\\limits _ {n=1}^{40000} \\dfrac{1}{\\sqrt{n}}\\) \u306e\u6574\u6570\u90e8\u5206\u3092\u6c42\u3081\u3088.","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[115],"tags":[142,112],"class_list":["post-1122","post","type-post","status-publish","format-standard","hentry","category-osaka_r_2014","tag-osaka_r","tag-112"],"_links":{"self":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1122","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/comments?post=1122"}],"version-history":[{"count":0,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/posts\/1122\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/media?parent=1122"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/categories?post=1122"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.roundown.net\/nyushi\/wp-json\/wp\/v2\/tags?post=1122"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}