一道反常积分敛散性解题过程剖析  

Research on the Solving Process of an Improper Integral about the Convergence

作　　者：曾夏萍[1] 周阳群 梁志清[1] 黄凤丽[1] 

机构地区：[1]玉林师范学院数学与统计学院,广西玉林537000

出　　处：《玉林师范学院学报》2016年第5期29-31,36,共4页Journal of Yulin Normal University

基　　金：国家自然科学基金资助项目(61364020);2014年玉林师范学院教师教育研究专项课题(2014XJJSJY17);玉林师范学院2016自治区级大学生创新创业训练计划项目(201610606126)

摘　　要：以一道反常积分敛散性的解题过程为例,通过在一定条件下积分与级数的内在联系,将反常积分敛散性问题转化为讨论无穷级数敛散性问题,从而判别出反常积分的敛散性.The solving process for the convergence of an improper integral is given. By the internal relation between integral and series under certain conditions, the convergence problem of the improper integral is transformed into a discussion for the convergence problem of the infinite series, thus we can discriminate the convergence of the improper integral.

关 键 词：反常积分 无穷级数 敛散性 

分 类 号：O172.2[理学—数学]