吉首大学学报(自然科学版)2018,Vol.39Issue(3):1-4,4.DOI:10.3969/j.cnki.jdxb.2018.03.001
一类正项级数收敛性的一个刻画及其应用
Characterization of Convergence of a Class of Series with Positive Terms and Its Applications
摘要
Abstract
We prove the characterization of the convergence of a class of series with positive terms can be conducted by the convergence of a relevant monotone positive sequence.Based on some questions in the preliminary contest of National College Student Mathematics Competitions and some questions in the"mathematical analysis" of the graduate entrance examination ,some examples are provided to illustrate the applications of the results in solving the problems of series convergence .关键词
正项级数/数列/收敛性Key words
series with positive terms/sequence of numbers/convergence分类
数理科学引用本文复制引用
许绍元..一类正项级数收敛性的一个刻画及其应用[J].吉首大学学报(自然科学版),2018,39(3):1-4,4.基金项目
广东省本科高校教学质量与教学改革工程项目(粤高教函〔2015〕133号) (粤高教函〔2015〕133号)