阶的估计法在判定正项级数敛散性问题中的应用

Application of Order-estimate Method in Determining Convergence and Divergence of Positive Series

本文首先证明了二个运用阶的估计法判定正项级数敛散性的判定定理,然后据此去解决一些由比较判别法不易判定的正项级数敛散性问题,显示了阶的估计法在这方面的优越性。

This article mainly proofs two determine -theorems and through them order -estimate method is used to determine convergence and divergence of positive series. Then this articie successfully solves several problems that is difficult for comparison Tests, so it shows superiorty of order - estimate method.