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 .
对无穷小提出了新的分类法，并对等价无穷小替换定理的条件进行了简化，从而使得该定理应用更加方便。
In this paper, infinitesimal classification is given and theorem condition of equivalent infinitesimal replacement is simplified, thus, this theorem is easy to operate.
对无穷小提出了新的分类法，并对等价无穷小替换定理的条件进行了简化，从而使得该定理应用更加方便。
In this paper, infinitesimal classification is given and theorem condition of equivalent infinitesimal replacement is simplified, thus, this theorem is easy to operate.
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