判定级数敛散性的两种初等方法

Two Elementary Methods for Testing Convergence or Divergence of Series

借助实例介绍针对某类级数敛散性的两种初等判定方法,即由级数通项构造相关不等式后运用比较判别法,或对级数恒等变换后再进行拆项求和.

This thesis introduces two elementary methods for testing convergence and divergence of series with the aid of examples.We construct related inequalities and use the comparative method,or split the series so that summation is easy for each series.