摘要：本文研究函数项级数和函数的求法，总结归纳了五种求和函数的方法：利用定义求和函数、代数运算求和函数、利用分析运算求和函数、利用复级数求和函数、利用微分方程求和函数，并给出了相关例题，从而促进学习者对求函数项级数和函数的方法及技巧的理解。

关键词：函数项级数；和函数；求法

Abstract：This article has studied five methods to get sum function within the progression, in summarization as follows: get sum function in application of definition、get sum function resulted from algebra calculation、get sum function under the analyzing calculation、get sum function by utilization of compound progression、get sum function in application of differential eguation. The related examples are also included in order to promote them to study and understand the methods and skills to get sum function of function of series.

Key words: Function of series;sum function;method