求极限刍议

Humble Opinion on Limiting

摘要: 极限思想是近代数学的一种重要思想，它贯穿微积分的始终，在微积分教学中占有重要的地位。求函数的极限是微积分中必须掌握的一个知识点，正确掌握函数的极限运算方法和运算技巧，对学习好高等数学具有重要意义。本文对微积分中求函数极限遇到的类型进行归纳总结，给出每种类型的计算方法，并通过讲解历年具有代表性的考研真题对方法运用加以阐明。

Abstract: The thought of limit is an important thought in modern mathematics, which runs through calculus and occupies an important position in calculus teaching. Finding the limit of function is a knowledge point that must be mastered in calculus. It is of great significance to learn advanced mathematics to master the limit operation method and operation skill of function correctly. In this paper, the types of limit of function in calculus are summarized, the calculation methods of each type are given, and the specific application methods of each limit type are clarified through the explanation of the representative real questions in the past years.