一类n层幂指函数的等价无穷小

The Equivalent Infinitesimal of a Class of n-Layer Power-Exponent Functions

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n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。

In this paper, the equivalent infinitesimals of a class of n-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.