洛必达法则及斯铎兹定理的一种简便证法

Easy Approach to L'Hospital's Rule and O.Stolz Theorem

针对∞/∞型的洛必达法则、数列极限∞/∞型的斯铎兹定理以及函数极限0/0型和∞/∞型的斯铎兹定理,分别建立相应的引理,为证明这些定理提供一种新的思路.对这些定理的传统证明是一种改进和补充.

This article establishes some relative lemmas for L＇Hospital＇s Rule of the ∞/∞ form and O.Stolz Theorem for the limit of sequences of ∞/∞ form,as well as the limit of functions of 0/0 form and ∞/∞ form.Each lemma can be easily proved and the corresponding theorems can be obtained by these lemmas.