幂级数求和函数的方法及应用  

The Method of Finding Sum Function of Power Series with Its Applications

作　　者：刘春连[1] 

机构地区：[1]南通大学杏林学院,江苏南通226007

出　　处：《高等数学研究》2016年第3期42-44,共3页Studies in College Mathematics

基　　金：江苏省高校"青蓝工程"项目(18112008019)

摘　　要：幂级数求和函数是无穷级数问题中的重点和难点,该文针对幂级数求和函数总结出其常见类型和解法,求和函数时需要注意的几个问题,以及幂级数求和函数在级数求和、求极限等方面的应用.Finding sum function of power series is a key and a difficult problem in infinite series. According to the summation function of power series, this paper summaries somecommon types and methods, what attention should be paid in seeking summation function, and the applications in the summation of series, limit, and so on.

关 键 词：幂级数 和函数 逐项求导 逐项积分 

分 类 号：O172[理学—数学]