“极限思想”是微积分的基本思想,用以描述某个无限变化过程的终极状态,是其他相关数学分支(如复变函数、实变函数)的理论基础。极限也是人们从有限中认识无限,从近似中认识精确,从量变中认识质变的一种数学思想方法;是事物转化的重要环节,可以将某些数学问题化难为易,避免一些复杂运算,探索出解题方向或转化途径。教师在数学教学中应注意适时地渗透极限思想。 “Limit idea ” is the basic idea of ​​calculus to describe the ultimate state of an infinite change process, which is the theoretical basis of other related mathematical branches (such as complex functions, real functions). The limit is also a kind of mathematical thinking method that people can understand infinitely from the limit, recognize the preciseness from the approximation, and recognize the qualitative change from the quantitative change. It is also an important part of the transformation of things. It can make some mathematical problems difficult and avoid some complex operations, Problem-solving or conversion path. Teachers should pay attention to infiltrating the limit thoughts timely in mathematics teaching.