函数极限的Stolz定理及其应用

Stolz Theorems for Functions and Their Application

将数列极限的Stolz定理推广到函数极限,给出了相应证明,并举例说明了它的应用,最后利用Stolz定理证明了L'Hospital法则,比较了二者的关系.

Abstact：In this paper, based on the Stolz theorems for sequences, similar generalized version of Stolz theorems for functions are given and proved. And the application is illustrated. Furthermore, L′Hospital＇s rule is proved by using Stolz theorem and the relation between them is compared.