关于∞/∞型的L′Hospital法则的一个改进

The Improvement of L′ Hospital′s ruler (∞-∞)

本文对现行的数学分析、微积分及其高等数学的教材中的∞/∞型的L′Hospital法则进行了一个改进,论证了该法则在无须考虑分子是否趋于∞的条件时,仍旧成立,利用了这个减弱了∞/∞型L′Hospital法则给出了一大类的极限问题的简单解法。

In this paper,We discuss L' Hospital's ruler(∞-∞). We've learned it in Mathematical Analysis. Calculus and Higher Mathematics,where required numerator and denominator both tend to ∞. But here. We don't have to consider if namerator tend to ∞. While the L'Hospital's ruler is still right. Use this result,we can deal with many limit's question in simple way.