计算幂级数和函数的一些技巧  

Some Skills of Summation Function of Power Series

作　　者：施露芳 Shi Lufang(Department of public courses,WuHan City College,Hubei Wuhan 443200)

机构地区：[1]武汉城市学院公共课部,湖北武汉443000

出　　处：《科技风》2022年第3期110-112,共3页

摘　　要：无穷级数是高等数学课程的一个重要内容,而求幂级数的和函数是其中教学的重点也是难点,许多学生在学习时深感无从下手。本文讨论了几种求幂级数的和函数的方法,比如定义法、逐项求导或逐项积分法,化为两个级数的乘积法,转化为微分方程求解法等。Infinite series is an important content of higher mathematics course,and the sum function of power series is the key and difficult point in teaching.In this paper,we discuss several methods of finding the sum function of power series,such as definition method,item-by-item derivation or item-by-item integration method,product method of two series,differential equation method,etc.

关 键 词：幂级数 和函数 逐项求导 逐项积分 

分 类 号：O[理学]