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正项级数敛散性判别的一种新方法
引用本文:吴国磊. 正项级数敛散性判别的一种新方法[J]. 枣庄师专学报, 2013, 0(5): 66-73
作者姓名:吴国磊
作者单位:如皋高等师范学校数理与信息技术系,江苏如皋226500
摘    要:正项级数的比较判别法,常见的有达朗贝尔判别法、柯西判别法、拉贝对数判别法和高斯判别法等,但各有优缺点,本文主要研究了拉贝(Raabe)判别法,并在此基础上给出了它的推广.

关 键 词:正项级数  拉贝判别法  敛散性

A New Method about Discriminating Convergence and Divergence of Positive Term Series
WU Guo-lei. A New Method about Discriminating Convergence and Divergence of Positive Term Series[J]. Journal of Zaozhuang Teachers' College, 2013, 0(5): 66-73
Authors:WU Guo-lei
Affiliation:WU Guo - lei (Department of Mathematics and Information Technology, Rugao Normal college, Rugao 226500 ,China)
Abstract:The common positive series convergence criteria, such as d' Alembert criterion, Cauchy criterion, Raabe criterion, Gauss criterion and so on , which all have advantages and limitations. This paper investigates the Raabe criterion and then makes some improvement of it respectively.
Keywords:positive series  raabe criterion  convergence and divergence
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