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有关收敛级数的两个问题
引用本文:祁建芳,刘一斐,董玉龙.有关收敛级数的两个问题[J].河北北方学院学报(自然科学版),2006,22(2):9-10.
作者姓名:祁建芳  刘一斐  董玉龙
作者单位:河北北方学院数学系,河北张家口075000;河北北方学院网络中心,河北张家口075000
摘    要:给出了级数的项,经过结合之后构成的新级数和原级数同时收敛的条件与证明,以及条件收敛级数其正项和与负项和之比的极限为-1.

关 键 词:收敛  条件收敛  莱布尼兹定理
文章编号:1673-1492(2006)02-0009-02
收稿时间:12 25 2005 12:00AM
修稿时间:2005-12-25

Two Problems about Convergent Series
QI Jian-fang,LIU Yi-fei,DONG Yu-long.Two Problems about Convergent Series[J].Journa of Hebei North University:Natural Science Edition,2006,22(2):9-10.
Authors:QI Jian-fang  LIU Yi-fei  DONG Yu-long
Institution:1. Mathematics Department, Hebei North University, Zhangjiakou, Hebei 075000, China 2. Internet Center of Hebei North University, Zhangjiakou, Hebei 075000, China
Abstract:This paper is to offer the converged condition proof of between new combined and the origrnal series at the same time, testify if the ratio of the sum of between positive and negative series under conditioned convergence is-1.
Keywords:convergence  conditioned convergence  Leibniz theorem
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