关于极限的讲法

众所周知，极限是高等数学所有重要概念的基础，又是教学的公认难点，特别是用“ε-δ”语言证明极限的题目．本文是作者在新疆大学讲授这一内容时所做的一些探索性工作，主要方法是：提前引入无穷小概念，以特殊无穷小为标准尺对极限证明题进行论证，使得证明思路清晰、论述简单、易于掌握．

How to Teach Limits

As we all know, the concept of limits is one of the most important and basement of advanced mathematics. It is difficult to teaching, Especially using the ＂ε-δ＂ language demonstrate the limits. In this paper, we give our some exploratory work done one this subject during working in Xinjiang University. The main method are as follows, we first introduce the concept of infinitesimal, then we use special infinitesimal to solve the problem of proof limits. This method make the proof simple and easy to master.