中文摘要：

给出了一种类型函数极限运算的公式及其在微积分极限计算中的具体应用,应用此极限公式可以求某些极限运算中参数的值,给出一元函数在某一点连续的充分条件和求一个曲线的渐近线,同时提供了一个命题的证明方法.

英文摘要：

This paper gives the formula of the limit operation for a type of function and its application in limit operation. This formula can be applied to calculate some parameters in limit operation, to study the sufficient conditions for the continuity of the function and to calculate the asymptote of a curve problem. Meanwhile, a method for proving a proposition is presented.