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正项级数敛散性根比判别法
引用本文:陈仁荣.正项级数敛散性根比判别法[J].南通航运职业技术学院学报,2006,5(3):44-46.
作者姓名:陈仁荣
作者单位:常州市广播电视大学,财经系,江苏,常州,213001
摘    要:正项级数∞n=1∑un的敛散性判别,一般《数学分析》教材是在介绍了Cauchy准则、比较判别法以后,给出了根值判别、比值判别等方法;本文利用比较判别法,提出了一个全新的、更为一般的判别方法——根比判别法。

关 键 词:正项级数  比较判别法  根比判别法
文章编号:1671-9891(2006)02-0044-03
收稿时间:2006-03-10
修稿时间:2006年3月10日

To Judge Whether Series of Positive Terms Are Discrete or Shrinking by Root Ratio
CHEN Ren-rong.To Judge Whether Series of Positive Terms Are Discrete or Shrinking by Root Ratio[J].Journal of Nantong Vocational & Technical Shipping College,2006,5(3):44-46.
Authors:CHEN Ren-rong
Abstract:To judge whether the series of positive terms u are discrete or shrinking, generally speaking, the course book "Mathematics Analysis" has introduced the way of Cauchy rule, comparison, root and ratio. This article introduces a completely new and more general way: Root Ratio by the way of comparison.
Keywords:Series of positive terms  Way of comparison  Way of root ratio  
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