%0 Journal Article
%T 一类<i>n</i>层幂指函数的等价无穷小<br>The Equivalent Infinitesimal of a Class of <i>n</i>-Layer Power-Exponent Functions
%A 尚珍艳
%J Pure Mathematics
%P 83-93
%@ 2160-7605
%D 2024
%I Hans Publishing
%R 10.12677/pm.2024.147275
%X 文章利用等价无穷小替换、泰勒公式和数学归纳法得到了一类<i>n</i>层幂指函数的等价无穷小，为求这类幂指函数的极限提供了有力工具，并且为处理类似函数的极限提供了一种解题思路。<br />
In this paper, the equivalent infinitesimals of a class of <i>n</i>-layer power-exponent functions are obtained by using equivalent infinitesimal substitution, Taylor’s formulas and mathematical induction, which provides a useful tool for finding the limit of this class of power-exponent functions, and also provides a solution idea to deal with the limit of similar functions.
%K 等价无穷小，幂指函数，泰勒公式<br>Equivalent Infinitesimal
%K Power-Exponent Functions
%K Taylor’s Formula
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=92090