摘要：本文研究无穷级数求和的问题，归纳总结了常见的几种无穷级数的求和方法：定义求和法、分组求和法、利用复级数求和、利用幂级数求和、利用傅里叶级数求和、利用绝对收敛级数的柯西乘积求和，并给出了相关例题，让学习者更容易掌握无穷级数求和方法及技巧，从而进一步促进其对该知识的学习和理解。

关键词: 无穷级数；级数求和；求和方法

Abstract: The summation of infinite series is discussed in this paper. Some common methods to summate infinite series are included and summarized: the definition summation method, the packet summation method, summation by use of the complex series, summation by use of the power series, summation by use of the Fourier series, summation by use of Cauchy multiplication of the absolutely convergent series. The related examples are also included in order to make it easier for the readers to master the method and skills of summating infinite series. This can also promote them to study and understand the knowledge.

Key words: infinite series ;summation of series; methods of summation