用等价无穷小替换求极限的几点注释  

Some Notes About the Equivalent Infinitesimal Substitution

作　　者：刘颖[1] 陈逸藻 

机构地区：[1]沈阳航空航天大学理学院,辽宁沈阳110136 [2]湖北大学数学与统计学学院,湖北武汉430062

出　　处：《高等数学研究》2015年第5期57-60,共4页Studies in College Mathematics

摘　　要：在这篇文章里讨论了几个函数和与差的等价无穷小问题,对高等数学教材中利用等价无穷小替换求极限的适用范围进行了拓广,并得到了可用等价无穷小替换求极限的新的充要条件.This article discusses some equivalent infinitesimals, which can be used to substitute some functions＇ sum and difference, and extends applications of the equivalent infinitesimals introduced in the Advanced Mathematical textbooks. It also presents a new necessary and sufficient condition, which can he used to solve limit problem by using equivalent infinitesimals as substitution.

关 键 词：等价无穷小 替换 极限 

分 类 号：O172.2[理学—数学]