试析调和级数的两个互补子级数的收敛性

本文在调和级数收敛性的基础上,通过对其两个互补子级数收敛性进行分析,以期说明在调和级数中去掉若干项后所构成的子级数,其收敛性是不同的。其根本原因就在于:调和级数去掉若干项后剩余下的项数相对于原调和级数的项数是否为一个低阶的无穷大。

Try to Anallyse the Convergence about Proportional Progression and its mutual minor One

Here gives an explanation of the minor progression's difference, when amount of items are removed from the proportional progression, which is on the basis of its convergence and the analysis to these two mutual minor progression. What the most basic reason is: whether the progression's remainders are infinity, compared to its lower one, after the removal of its amount of items.