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一个反常积分收敛性的剖析
引用本文:李群宏,李春红,方世祖.一个反常积分收敛性的剖析[J].广西大学学报(自然科学版),2008,33(Z1).
作者姓名:李群宏  李春红  方世祖
作者单位:广西大学数学与信息科学学院,广西南宁,530004
摘    要:反常积分是数学分析课程中一个比较难掌握的内容,在<数学分析>教材(华东师范大学数学系编,第三版)中有一道反常积分的题目,在一些数学分析解题参考书中都给出了含有错误的解法,本文对此给予详细讨论,以期能给学生一个正确的指导.

关 键 词:数学分析  反常积分  收敛性  习题解

Discussion on convergence of an improper integral
LI Qun-hong,LI Chun-hong,FANG Shi-zu.Discussion on convergence of an improper integral[J].Journal of Guangxi University(Natural Science Edition),2008,33(Z1).
Authors:LI Qun-hong  LI Chun-hong  FANG Shi-zu
Institution:LI Qun-hong,LI Chun-hong,FANG Shi-zu (College of Mathematics , Information Science,Guangxi University,Nanning 530004,China)
Abstract:The improper integral is the difficult content for stduents to learn in a cours'e of Mathematical Analysis.In a textbook Mathematical Analysis(3~(rd) edition,written by the Department of Mathematics,East China Normal University),there is a problem about improper integral,which was given incorrect solutions in some published references for the solutions of exercises in Mathematical Analysis.We will give a detailed discussion for the improper integral presentd in this paper so that the students can obtain the...
Keywords:mathematical analysis  improper integral  convergence  solutions of exercise  
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