交错级数审敛法的探讨  

Discussion on the Convergence Method of Alternate Series

作　　者：丁殿坤[1] 王鲁新[1] DING Dian-kun;WANG Lu-xin(Basic Courses Department, Shandong University of Science and Technology, Taian Shandong 271019, China)

机构地区：[1]山东科技大学基础课部,山东泰安271019

出　　处：《大学数学》2020年第6期87-92,共6页College Mathematics

基　　金：山东省教育科学“十二五”规划课题(2013GG125)。

摘　　要：通过讨论莱布尼兹级数的性质,得到了一般交错级数审敛定理及推论,并给予证明.使交错级数敛散性的判定更加灵活多样化.By discussing the nature of Leibniz series,the convergence theorem and corollaries of general staggered series are obtained and proved.To make the judgement of convergence and divergence of staggered series for more flexible and diversified.

关 键 词：莱布尼兹级数 性质 一般交错级数 审敛定理 推论 

分 类 号：O172.1[理学—数学]