正项级数敛散性的密率判别法

The Density Discrimination Method of the Convergence and Divergence Characteristic of the Positive Term Series

借鉴数论方法中的密率论 ,给出判别正项级数敛散性的密率判别法 ,此方法特别适用于判定一些较难或不能给出通项表达式的级数的敛散性。

By using the density theory of theories of numbers,the article gives the density discrimination method determining the convergence and divergence characteristic of the positive term series.The method is especially suitable to decide the convergence and divergence characteristic of the series,the common term expression of which is difficult or can not be given.