广义积分敛散性的一个判别准则  

Method of Testing Convergence and Divergence of Generalized Integral

作　　者：韩建玲[1] 

机构地区：[1]闽南理工学院信息管理系,福建石狮362700

出　　处：《十堰职业技术学院学报》2012年第1期95-97,共3页Journal of Shiyan Technical Institute

摘　　要：运用定义及比较审敛法在判断广义积分的敛散性时,会由于被积函数不存在初等函数的原函数或用来比较的函数较难选择而产生困难,为解决该问题,从无穷小与无穷大出发,研究广义积分的敛散性,得到一个比较实用的判定准则。Testing convergence and divergence of generalized integral,will meet difficulties because integrand does not exist elementary functions of the original function or more difficult to choose a function to compare.To solve this problem,the convergence of generalized integral is studied from the infinitesimal and infinite and a more practical evaluation criterion is gained.

关 键 词：无穷小 无穷大 无穷积分 瑕积分 敛散性 

分 类 号：O172.2[理学—数学]