计算求和式的一些方法

Some Methods on the Calculation of Sums

本文的目的是介绍计算求和式的一些方法.因为级数与函数项级数的部分和也是这种形式,所以这些计算方法也可用于判定级数的敛散性以及研究函数项级数的性质.

This paper is devoted to some methods on the calculation of the sums.Since the partial sums of series are of this type,these methods can also be used to determine the convergence or divergence of series and study the properties of series of functions.