等价无穷小量替换法在复合函数极限中的应用  

An Application of Equivalent Infinitesimal Substitution Method in the Limit of Composite Function

作　　者：杨子兰 李睿 杨惠娟[2] YANG ZiLan;LI Rui;YANG Huijuan(Department of Information Science and Technology,Tourism and Culture College of YunnanUniversity,Lijiang 674199,China;Department of Mathematics and Statistics,Zhaotong University,Zhaotong 657000,China)

机构地区：[1]云南大学旅游文化学院信息科学与技术系,云南丽江674199 [2]昭通学院数学与统计系,云南昭通657000

出　　处：《湘南学院学报》2018年第5期16-19,共4页Journal of Xiangnan University

基　　金：云南省教育厅科学研究基金项目(2016ZDX152;2017ZDX270)

摘　　要：通过分析等价无穷小量替换法在复合函数极限中的应用,得出相关定理,并举实例,说明在复合函数求极限中适当地利用等价无穷小量替换法,能起到事半功倍的效果.In this paper, by analyzing the application of equivalent infinitesimal subsitution method in the limit of composite tunetion, some relevant theorem is drawn, and examples are obtained, meaning that in a composite tunetion limit, proper use of the method of equivalent infinitesimal substitution method can play the twice the result with half the effort.

关 键 词：复合函数 变量替换 无穷小量 等价代换 

分 类 号：O171[理学—数学]