关于交错级数敛散性判别法的一些探讨

A Distinguish Method about the Convergence of the Alternative Series

文章就数学分析中交错级数敛散性的判别法加以讨论,结合交错级数自身的特性,提出了交错级数敛散性的一个判别定理。该定理的判别式是极限形式,运用起来十分简便,该判定定理推广了莱布尼兹判别法,并给出了应用。

This paper probes into the distinguish method about the convergence of the alternative series, and gives an easy distinguish method about the convergence of the alternative series, considering the characteristic of the alternative series, which as a limited form,is easy to operate.