关于正项级数收敛性判别的一个推广

Generalization on convergence criterion for series of positive terms

为判别正项级数的收敛性，在一种新的比值判别法的基础上作了更进一步的推广，使其更具一般性. 同时，通过与达朗贝尔判别法、柯西判别法、拉贝尔判别法的比较。

To distinguish the convergence for series of positive terms, this paper gives some generalized theorems on the basis of a new value of ratio criterion. What's more, it is proved that the generalized theorems are st ronger than the J. D' Alembert's criterion, the A. L. Cauchy's criterion and the J. L. Raabe's criterion.