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数列极限的求解方法探析

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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.
Research on the Solution of Sequence Limits
The solution of sequence limits is the foundation of limit learning.This article explores the ap-plication 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 learn-ing to solve sequence limits.

sequence limitsolution limitStolz theoremsubstitution method

杨雄、袁新全

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娄底职业技术学院 公共课部,湖南 娄底 417000

数列极限 求解极限 Stolz定理 代换法

湖南省社会科学成果评审委员会项目娄底职业技术学院教学改革研究项目

XSP22YBC054LZJY22BZC01

2024

楚雄师范学院学报
楚雄师范学院

楚雄师范学院学报

影响因子:0.221
ISSN:1671-7406
年,卷(期):2024.39(3)
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