浅谈等价无穷小在求复合函数极限中的应用

On the Application of Equivalent Infinitesimal Limit in Seeking the Composite Function

用等价无穷小量做代换是计算极限的一种常用、方便、有效的方法,本文针对等价无穷小在求复合函数极限中是否可以代换的问题给出了一些充分条件,并给了一则反例.

Equivalence Infinitesimal do substitution is a method of calculating the limit of common, convenient and effective method, aiming at seeking equivalent infinitesimal composite function limits the question whether you can substitute some sufficient conditions are given, and gave a the counter-example.Key words composite function; equivalent infinitesimal limit; substitution; counter-example