学习《高等数学》应注意的若干问题(一)——函数的极限

Problems Should be Given Attention in Studying Higher Mathematics——The Limit of Function

函数的极限是《高等数学》的基础,它引出了函数的连续、导数和定积分的概念,因此求解极限是一个非常重要的问题。本文先介绍了求函数(数列)极限的常见方法,再结合例题分析了在求极限过程中应注意的问题,最后简要说明了极限在高等数学其他章节中的应用。

The limit of function,which brings out the definitions of continuous function,derivative,definite integral,is the basis of＂Higher Mathematics＂.Thus,solving the limit of function is a very important problem.Firstly,we will introduce the common methods for solving the limit of function（sequence）in this paper.Secondly,we will give some examples to analysis the problems wihich should be paid attention to.Finally,we will obtain a brief description on the application of limit in other chapters of＂Higher Mathematics＂.