对Kummer判别法的探讨

对正项级数收敛性的判别，通常是从比较原则出发，进而通过与某一几何级数相比较得比式判别法和根式判别法．如级数的通项收敛于零的速度较某一几何级数的通项收敛于零的速度慢，则无能为力．它先给出一个能判别范围更广的Kummer判别法，把传统的几种方法作为此判别法的一种特例给出．

Study on Kummer Diagnostic Method

Adjusting the discrimination of the convergence property of a progression well, we usually prlceed from comparative prinoiple, and thne through comparing with and get with a certain geometric progression than the diagnostic method of the type and diagnostic method of the thpe and diagnostic method of radical. If coherent item of progression disapear a certain coherent item of geometric progression, it disappears to be slow on zero relatively on zero speed ,the end is powerless. It provides one that can differentiate range wider kummer diagnostic method, regard several kinds of traditional methods as a kind of special case of diagnostic method.