正项级数达朗贝尔与柯西审敛法的一些推广  

On Positive Series D'alembert and Cauchy Folding Method

作　　者：任锋 

机构地区：[1]河南工业和信息化职业学院,河南焦作454000

出　　处：《济源职业技术学院学报》2013年第2期18-19,共2页Journal of Jiyuan Vocational and Technical College

摘　　要：级数收敛是级数理论的基本问题,在正项级数判别法中,最简单又最常用的是达朗贝尔判别法与柯西判别法,通过对这两种判别法进行研究与改进,得到了一应用更广的新判别法,在分析和比较的基础上,举例进行了验证推广。Series convergence is a basic problem of theory of progression. In positive series criterion, the simplest and most commonly used method is the D＇ alembert discriminant method and Cauchy criterion. These two kinds of diseriminant methods are studied and improved, and a new diseriminant method, which is wider applied, is obtained and validated on the base of analysis and comparison.

关 键 词：正项级数 达朗贝尔判别法 柯西判别法 审敛法 

分 类 号：O173[理学—数学]