无穷级数敛散性之注记

Some Remarks on Convergence and Divergence of Infinite Series

对学生在学习级数知识时的常见错误进行了总结,讨论了常用的判别方法以及常用的概念,并通过实例来说明级数收敛性和发散性的判断以及对概念的运用,从而进行区别和联系.

This paper summarizes the common mistakes made by the students in the process of learning series knowledge, discusses the commonly-used identification methods and commonly-used concepts, and uses examples to explain the discrimination of convergence and divergence of series and the application of the concepts in order to distinguish and associate the methods and concepts.