交错级数的比值放大判别法

Discriminatory Method for Enlarging the Ration of Alternate Series

近年来,多种新的有效的交错级数敛散性判别法被提出.从正项级数的比值放大法入手,得出了交错级数的一种新的审敛准则,并将其推广到更一般的形式.最后通过实例表明新的判别法具有一定的应用价值.

In recent years,many new and effective judgments of convergence and divergence of alternate series were raised.This paper proceeded with discriminatory method for enlarging the ration of alternate series,it gave a new convergence criterion of alternate series,and generalized the convergence criterion into the general form.At last,it showed that the method has certain values in practice by examples.