幂级数收敛半径的计算  

The calculation of convergence radius for power series

作　　者：寇冰煜 毛磊 张燕 马凤丽 KOU Bingyu;MAO Lei;ZHANG Yan;MA Fengli(Department of Basic Course,The Army Engineering University of PLA,Nanjing 211101,China)

机构地区：[1]陆军工程大学基础部,江苏南京211101

出　　处：《高师理科学刊》2021年第3期71-73,共3页Journal of Science of Teachers＇College and University

基　　金：陆军工程大学基础部教育教学课题。

摘　　要：根据公式法求解幂级数的收敛半径具有很大的局限性,从幂级数相邻项比值极限是否存在的角度出发,介绍几种求幂级数收敛半径的方法,并举例对这些方法加以应用.Solving the convergence radius of the power series according to the formula method has great limitations.From the point of view of whether the ratio limit of adjacent terms of power series exists,several methods to calculate the convergence radius of power series was introduced,and some examples to apply them was given.

关 键 词：幂级数 收敛半径 比值审敛法 根值审敛法 

分 类 号：O173.1[理学—数学] G642.0[理学—基础数学]