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交错级数的比值放大判别法
引用本文:曾亮,李亚男. 交错级数的比值放大判别法[J]. 佳木斯大学学报, 2011, 29(1): 112-113,116
作者姓名:曾亮  李亚男
作者单位:肇庆科技职业技术学院;
摘    要:近年来,多种新的有效的交错级数敛散性判别法被提出.从正项级数的比值放大法入手,得出了交错级数的一种新的审敛准则,并将其推广到更一般的形式.最后通过实例表明新的判别法具有一定的应用价值.

关 键 词:交错级数  绝对收敛  条件收敛  比值放大判别法

Discriminatory Method for Enlarging the Ration of Alternate Series
ZENG Liang,LI Ya-nan. Discriminatory Method for Enlarging the Ration of Alternate Series[J]. Journal of Jiamusi University(Natural Science Edition), 2011, 29(1): 112-113,116
Authors:ZENG Liang  LI Ya-nan
Affiliation:ZENG Liang,LI Ya-nan(Zhaoqing Science and Technology Polytechnic,Zhaoqing 526114,China)
Abstract:In recent years,many new and effective judgments of convergence and divergence of alternate series were raised.This paper proceeded with discriminatory method for enlarging the ration of alternate series,it gave a new convergence criterion of alternate series,and generalized the convergence criterion into the general form.At last,it showed that the method has certain values in practice by examples.
Keywords:alternate series  absolutely convergence  conditioned convergence  ration enlarging discriminatory method  
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