一个新的正项级数敛散性的判别法  

A New Criterion of the Convergence and Divergence of the Positive Series

作　　者：顾先明[1] 彭浩[1] 

机构地区：[1]唐山师范学院数学与信息科学系,河北唐山063000

出　　处：《唐山师范学院学报》2012年第2期31-33,共3页Journal of Tangshan Normal University

基　　金：唐山师范学院的大学生科技创新立项项目

摘　　要：用级数sum from n=2 to ∞(1/(nln^pn))做比较标准,得到一个比拉阿比判别法更为精细又应用方便的判别法,称为"对数判别法"。In this paper,a new criterion was proposed to discriminate the convergence of positive series by using series sum from n=2 to ∞（1/（nln^pn）） as a comparing standard.This type of criterion is finer and more convenient than that frequently-used Raaba＇s criterion.

关 键 词：比较判别法 级数判别法的极限形式 LAGRANGE中值定理 对数判别法 

分 类 号：O173[理学—数学]