交错级数的对数判别法  

The Logarithm Decision Method about Alternate Series

作　　者：刘志高[1] 

机构地区：[1]安徽职业技术学院,安徽马鞍山243031

出　　处：《大学数学》2010年第2期194-196,共3页College Mathematics

摘　　要：从正项级数的Raabe对数判别法入手,给出了交错级数的一个新的审敛方法.与文[1],[2]所给的审敛法相比,当交错级数的一般项含有幂指项时,利用该审敛法判断其敛散性显得尤为简便.From the ＂Raabe＂ logarithm decision method about positive series, we can draw one new convergence criterion about alternate series. Compared with the convergence criterions in [1,2], it is more convenient to judge the convergence of alternate series by means of the new convergence criterion, especially when power-exponential functions appear in the common item of alternate series.

关 键 词：交错级数 绝对收敛 条件收敛 

分 类 号：O173.1[理学—数学]