等价无穷小在求幂指函数极限中的应用

The Application of Infinitesimal Equivalence to Getting the Limit of Power-exponential Function

本文讨论了在幂指函数求极限的过程中利用等价无穷小量代换 ,提出了四条定理 ,并给出了证明。结合罗必塔法则 ,使幂指函数求极限的计算更加简练。

This article mainly discusses about how to take advantage of infinitesimal quantity to get the limit of power-exponential function.Four theorems are put forward and reasons are provided in this article,also.Moreover,in the process of getting the limit of power-exponential function,there are quotations from L′hospital to make the caculation concise.