数列极限的求解方法探析  

Research on the Solution of Sequence Limits

作　　者：杨雄[1] 袁新全 YANG Xiong;YUAN Xinquan(Common Courses Department,Loudi Vocational and Technical College,Loudi,Hunan Province 417000)

机构地区：[1]娄底职业技术学院公共课部,湖南娄底417000

出　　处：《楚雄师范学院学报》2024年第3期77-84,共8页Journal of Chuxiong Normal University

基　　金：湖南省社会科学成果评审委员会项目(No.XSP22YBC054);娄底职业技术学院教学改革研究项目(No.LZJY22BZC01)。

摘　　要：数列极限的求解是极限学习的基础,针对应用数列极限的定义、数列极限运算技巧及Stolz定理等对数列极限的求解进行探析,发现二个数列极限求解的命题能够解决求解数列极限中的很多问题。列举了几种求解数列极限的方法,为求解数列极限的学习提供参考。The solution of sequence limits is the foundation of limit learning.This article explores the application of the definition of sequence limits,sequence limit operation techniques and Stolz theorem to solve sequence limits.During the process of solving sequence limits,two propositions are obtained,and the proof and application of propositions are explored.It is found that propositions can solve some problems in solving sequence limits.Finally,several methods for solving sequence limits are cited,providing reference for learning to solve sequence limits.

关 键 词：数列极限 求解极限 STOLZ定理 代换法 

分 类 号：O173[理学—数学]