利用洛必达法则和泰勒公式求解一元函数的极限

Solving Limits of Univariate Functions Using L’Hôpital’s Rule and Taylor’s Formula

摘要: 极限思想是微积分及高等数学中不可缺少的重要方法。本文先介绍了一元函数极限的基础知识；其次，探讨了利用洛必达法则求一元函数的极限；进一步，本文讨论了利用泰勒公式求一元函数的极限。本文的探讨将为一元函数的极限求解的学习提供帮助。

Abstract: The concept of limit is an indispensable and important method in calculus and advanced mathematics. Firstly, this paper introduces the basic knowledge of the limit of univariate functions; secondly, it discusses the application of L’Hôpital’s rule to solving the limit of univariate functions; furthermore, this paper explores the use of Taylor’s formula for computing the limit of univariate functions. The discussion in this paper will provide assistance for the study of solving the limit of univariate functions.