正项级数审敛法的推广  

Extending the discriminance for convergence of positive series

作　　者：陈翠玲 韩彩虹 李智[2] 李明[3] CHEN Cui-ling;HAN Cai-hong;LI Zhi;LI Ming(School of Mathematics and Statistics,Guangxi Normal University,Guilin 541004,China;School of Computer Science and Information Engineering,Guangxi Normal University,Guilin 541004,China;School of Science,Guilin University of Technology,Guilin 541004,China)

机构地区：[1]广西师范大学数学与统计学院,广西桂林541004 [2]广西师范大学计算机科学与信息工程学院,广西桂林541004 [3]桂林理工大学理学院,广西桂林541004

出　　处：《高师理科学刊》2019年第12期9-11,共3页Journal of Science of Teachers＇College and University

基　　金：广西研究生教育创新计划项目（XJGY201809）;2019年度广西高等教育本科教学改革工程项目（2019JGB145）

摘　　要：针对正项级数,给出以级数^∞∑n=21/n(ln(n))^p为比较级数的新审敛法.根据新审敛法的形式可以发现,当正项级数的一般项含有ln(n)且较复杂时,可以考虑用此审敛法.为说明新审敛法的有效性,给出例题,并进行求解.For positive series,gives a new discriminance for convergence with series^∞∑n=21/n(ln(n))^p as comparison series.According to the form of the new discriminance method,it can be found that the discriminance method can be considered when the general term of the series of positive series contain ln(n)and is more complex.Furthermore,demonstrate its efficiency by presenting some examples and solving them.

关 键 词：正项级数 审敛法 收敛性 

分 类 号：O173.1[理学—数学]