正项级数敛散性两种基本判别法补充教学的一些探讨

A Probe into Supplementary Teaching of Two Basic Methods to Judge Convergence and Divergence of Positive Series

在数学分析教材中,判别正项级数敛散性常用两种基本方法,即D'Alembert和Cauchy判别法。本文介绍这两种方法失效时,利用与广义调和级数比较、无穷级数与无限积分关系的方法推出的几种判别法。

The dissertation expounded several methods to judge the convergence and divergence of positive series when the two basic methods, namely the D'Alembert method and the Cauchy method fails.