幂级数和函数的求法  

The Solution of Sum Function of Power Series

作　　者：张海涛 ZHANG Hai-tao(School of Mathematics and Statistics Science,Shanxi Datong university,Datong Shanxi,037009)

机构地区：[1]山西大同大学数学与统计学院,山西大同037009

出　　处：《山西大同大学学报（自然科学版）》2021年第5期27-29,共3页Journal of Shanxi Datong University(Natural Science Edition)

摘　　要：幂级数的和函数是高等数学的重要内容之一,解题方法灵活多变,对学生的基本功要求比较高,学生学习起来比较吃力。文章介绍了求幂级数和函数的三种常用方法,并通过实例进行了分析讲解,为学生深入学习和计算和函数提供了参考。The sum function of power series is one of the important contents of higher mathematics.The problem-solving methods are flexible,the requirements for students’basic skills are relatively high,andit is difficult for students to learn.This paper introduces three common methods of obtaing sum function of power series,and analyzes and explains them through examples,which provides a reference for students to further study and calculate and functions.

关 键 词：幂函数 和函数 逐项积分 逐项求导 幂级数展开式 

分 类 号：O139[理学—数学]