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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク integral test for convergence ： ウィキペディア英語版 integral test for convergence In mathematics, the integral test for convergence is a method used to test infinite series of non-negative terms for convergence. It was developed by Colin Maclaurin and Augustin-Louis Cauchy and is sometimes known as the Maclaurin–Cauchy test. ==Statement of the test== Consider an integer and a non-negative, continuous function defined on the unbounded interval , on which it is monotone decreasing. Then the infinite series :$\backslash sum\_^\backslash infty\; f(n)$ converges to a real number if and only if the improper integral :$\backslash int\_N^\backslash infty\; f(x)\backslash ,dx$ is finite. In other words, if the integral diverges, then the series diverges as well. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「integral test for convergence」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.