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阶的估计法在判定正项级数敛散性问题中的应用
引用本文:徐松林. 阶的估计法在判定正项级数敛散性问题中的应用[J]. 宜春学院学报, 2008, 30(6)
作者姓名:徐松林
作者单位:安徽建筑工业学院数理系,安徽,合肥,230601
基金项目:安徽建筑工业学院硕博科研启动基金 
摘    要:本文首先证明了二个运用阶的估计法判定正项级数敛散性的判定定理,然后据此去解决一些由比较判别法不易判定的正项级数敛散性问题,显示了阶的估计法在这方面的优越性。

关 键 词:正项级数  阶的估计法  比较判别法

Application of Order-estimate Method in Determining Convergence and Divergence of Positive Series
XU Song-lin. Application of Order-estimate Method in Determining Convergence and Divergence of Positive Series[J]. Journal of Yichun University, 2008, 30(6)
Authors:XU Song-lin
Affiliation:XU Song-lin(AnHui Institute Of Architecture & Industry,Hefei 230001,China)
Abstract:This article mainly proofs two determine-theorems and through them order-estimate method is used to determine convergence and divergence of positive series.Then this article successfully solves several problems that is difficult for comparison Tests,so it shows superiorty of order-estimate method.
Keywords:positive series  order-estimate method  comparison Test  
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