摘要
以正项级数Σ１／ｎｌｎｎ（ｌｎｌｎｎ）＾β（β〉０）为标准建立了比Ｇａｕｓｓ判别法更为精细的两种判别法，并推广到一般情况，从而得到了正项级数敛散性判别法的推广形式。
The author takes the positive term series ∑nlnn(lnlnn)β(β>0) as a reference scale, presents two criterions which are more effective than Gauss criterion, extends this criterion in more general case, and gives the generalized forms of criterion for convergence and divergence of positive term series.
关键词
级数
比较判别法
正项级数
敛散性
数学分析
series
comparison criterion
Cauchy criterion
Raabe criterion
Gauss criterion
