函数极限和连续

Limit and Continuity of Function

数学分析研究的对象是函数,研究的方法是极限,连续函数是函数中常见的重要一类,深入研究函数极限和连续的概念,使初等函数在定义域上连续是有益的和必要的。

Mathematical analysis is to study function by means of studing its limit. The continuous function is an important type frequently found in functions. It is Profitable and necessary to make a profound research on the concept of limit and continuity of function in order to make the elementary function continuous in its field of definition.