正项级数敛散性比较判别法推广Ⅰ及Ⅱ  

Generalized Positive Series Comparative DiscriminaceⅠandⅡ

作　　者：李蔚[1] 

机构地区：[1]安徽邮电职业技术学院,合肥230031

出　　处：《安徽广播电视大学学报》2013年第1期121-124,共4页Journal of Anhui Radio & TV University

摘　　要：对于正项级数敛散性的判别研究经历了较长的发展过程,Raabe判别法和D`Alembert判别法研究了在定理假设条件下r>1与r<1时的情况,而r=1时情况却没有解决。在对Raabe判别法和D`Ale-mbert判别法r=1时的情况进行了研究,对已有方法加以进一步推广,归结为结论———正项级数敛散性判别法推广Ⅰ及Ⅱ。It has been a long way to promote positive series discriminance. Raabe＇s discriminance and D Alembert discriminance study the circumstances when the theorem. However, the r= 1 situation is absent r〉1 and r〈1,while they satisfy the requirements of from the theorem. This paper is aimed to ameliorate Raabe discriminace and DAlembert discriminance by studying the r=l situation at the same time, generalize some of the formal theorems and finally draw a generalized conclusion which is called generalized positive series comparative discriminace I and II.

关 键 词：比较判别法 RAABE判别法 D'Alembert判别法 

分 类 号：O173.1[理学—数学]