正项级数敛散性判别的一种新方法  

A New Method about Discriminating Convergence and Divergence of Positive Term Series

作　　者：吴国磊[1] 

机构地区：[1]如皋高等师范学校数理与信息技术系,江苏如皋226500

出　　处：《枣庄学院学报》2013年第5期66-73,共8页Journal of Zaozhuang University

摘　　要：正项级数的比较判别法,常见的有达朗贝尔判别法、柯西判别法、拉贝对数判别法和高斯判别法等,但各有优缺点,本文主要研究了拉贝(Raabe)判别法,并在此基础上给出了它的推广.The common positive series convergence criteria, such as d＇ Alembert criterion, Cauchy criterion, Raabe criterion, Gauss criterion and so on , which all have advantages and limitations. This paper investigates the Raabe criterion and then makes some improvement of it respectively.

关 键 词：正项级数 拉贝判别法 敛散性 

分 类 号：O173.1[理学—数学]