关于数列极限定义的教学

On the Teaching of the Series Limits' Definition

本文就初学数学分析的读者难于理解、不易掌握的极限定义来探讨数列极限定义的教学,论述了在弄清概念时,用定义证明数列极限的一些基本办法和技巧。

Using the definition of limits, which is difficult to understand and graspfor the beginners, this paper discusses the teaching of series limits' definition.With the understanding of the definition, some basic methods and skills are given,by which the series limits have been proved.