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交错级数敛散性的微分形式判别法
引用本文:郑玉敏,刘玉娟.交错级数敛散性的微分形式判别法[J].数学学习,2010,13(3):6-7.
作者姓名:郑玉敏  刘玉娟
作者单位:河南理工大学数学与信息科学学院,河南焦作,454000 
摘    要:给出交错级数敛散性微分形式的判别法,应用此判别法可直接判别交错级数是否收敛,以及收敛时是绝对收敛还是条件收敛.

关 键 词:交错级数  敛散性  判别法  绝对收敛  条件收敛

Differential Form Criterion for the Convergence of Alternating Series
ZHENG Yu Min,LIU Yu Juan.Differential Form Criterion for the Convergence of Alternating Series[J].Studies In College Mathematics,2010,13(3):6-7.
Authors:ZHENG Yu Min  LIU Yu Juan
Institution:(school of Mathematics and Information Science, Henan Polytechnic University,Jiaozuo, 454000, PRC)
Abstract:This paper introduces a differential form criterion for the convergence of alternating series. Using this criterion, one can directly determine whether or not a given alternative series is convergent, absolutely convergent, or conditionally convergent.
Keywords:alternate series  convergence criterion  absolutely convergence  conditional convergence  
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