比式判别法和根式判别法是对正项级数收敛性进行判别的两种广用的方法。
The ratio test and the root test are two widely used convergence tests for positive series.
文章着重介绍了在正项级数比较审敛法的极限形式中，用等价无穷小的方法来判别正项级数的敛散性。
This paper is mainly about recognizing convergence with the methods of infinitesimal equivalence in the limit form of convergence criterion in series of positive terms .
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.
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.
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