正项级数收敛判别法的应用  

Application of Convergence Criterion for Positive Term Series

作　　者：丁慧剑 DING Huijian

机构地区：[1]大同师范高等专科学校,山西大同037000

出　　处：《辽宁省交通高等专科学校学报》2025年第1期32-36,共5页Journal of Liaoning Provincial College of Communications

摘　　要：正项级数是高等数学中的重要内容,但判断正项级数敛散性的方法通常不易掌握。通过分析常见的正项级数收敛判别法及其变形,讨论了它们在判断收敛性时的适用类型和应用中值得注意的一些问题。Positive term series is an important content in advanced mathematics,but the method of judging the convergence and divergence of positive term series is usually not easy to master.By analyzing common convergence discrimination methods and their variations,their applicable types and noteworthy issues in determining convergence were discussed.

关 键 词：高等数学 无穷级数 收敛性 比较判别法 

分 类 号：O173[理学—数学]