函数极限的Stolz定理及其应用  

Stolz Theorems for Functions and Their Application

作　　者：刘永莉[1] 石蕊 

机构地区：[1]兰州城市学院数学学院,甘肃兰州730070 [2]兰州城市学院电子与信息工程学院,甘肃兰州730070

出　　处：《甘肃高师学报》2017年第12期12-15,共4页Journal of Gansu Normal Colleges

摘　　要：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.

关 键 词：函数极限 STOLZ定理 L'Hospital法则 周期函数 

分 类 号：O171[理学—数学]