函数极限不存在问题的研究

The Study of the Function Limit Nonexistence

函数极限不存在是数学分析中的一个重难点,熟练地掌握一个函数极限不存在的判别方法对于整个数学分析的学习来说是十分重要的.文章研究了一元函数极限不存在的定义与常见的证明方法;多元函数中二元函数极限不存在的判别方法,并通过实例进行了说明.

Function limit does not exist is a difficult point in mathematical analysis. Skilled in identifying whether the limit of a function exists is very important for the mathematical analysis learning. We study the definition of a unary function limit does not exist and the common proof methods. We also study the method to test the nonexistence of binary function limit,which is illustrated through an example.