关于型L'Hospital法则的一个注记

A NOTE ON L' HOSPITAL'S RULE OF TYPE■

本文对型L'Hospital法则进行了改进，证明了在该法则中去掉条件“limf(x)=∞”后，结论仍成立，并证明了改进后的定理与原定理是等价的，同时用若干实例说明改进后的定理在应用时比原定理要方便得多。

In this paper we improved L' Hospital's rule of type , proved thatthe L' Hospital's rule is also true without the condition 'limf (x)=∞', and the latter result is equilent to the L' Hospital's rule. Many examples show that the latter result is more convinent than L' Hospital's rule in applications.