摘要
本文对柯西定理的思想进行了推广 ,得到了有关正项级数敛散性的一个命题 ,并由此及到一个判别正项级数敛散性的方法。
This paper extends the thoughts of Cauchy Theorem from which it gains two related propositions about convergent property of series of positive terms.There by,a method applied to distinguish the convergent property of series of positive terms is also obtained.
关键词
柯西定理
正项级数
敛散性
比值判别法
Cauchy Theorem
series of positive terms
property of convergence and divergence.