无穷级数求和归类在教学中的应用  

The Classification of the Sum of Infinite Series in Teaching

作　　者：安玉萍[1] 

机构地区：[1]吉林建筑工程学院基础科学部,长春130118

出　　处：《吉林建筑工程学院学报》2010年第5期80-82,共3页Journal of Jilin Architectural and Civil Engineering

摘　　要：无穷级数求和是无穷级数中的主要内容,针对无穷级数求和归纳为6种方法.即利用无穷级数和的定义、递推、构造成幂级数、傅里叶级数、幂级数的逐项求导或逐项积分、微分方程,笔者通过例子,总结归纳出无穷级数求和的解题技巧,使求解这类问题有章可循.This paper reduces to six ways for the sum of infinite series as it plays a significant role in the infinite se-ries.The methods are the definition of the sum of infinite series,recurrence,structure into power series,Fourier series,the derivation or the integration of the power series and differential equation.Finally,it summarizes skills of solving the problems in the sum of infinite series by examples in order to set up rules for this kind of problems.

关 键 词：无穷级数 和函数 微分方程 傅里叶级数 

分 类 号：G642[文化科学—高等教育学]