翻訳と辞書 |
Divergent geometric series : ウィキペディア英語版 | Divergent geometric series In mathematics, an infinite geometric series of the form : is divergent if and only if | ''r'' | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case : This is true of any summation method that possesses the properties of regularity, linearity, and stability. ==Examples== In increasing order of difficulty to sum: *1 − 1 + 1 − 1 + · · ·, whose common ratio is −1 *1 − 2 + 4 − 8 + · · ·, whose common ratio is −2 *1 + 2 + 4 + 8 + · · ·, whose common ratio is 2 *1 + 1 + 1 + 1 + · · ·, whose common ratio is 1.
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「Divergent geometric series」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.
|
|