数列极限中Stolz定理的应用及推广  

Application and Extension of Stolz Theorem in the Limit of Sequence

作　　者：周婉娜[1] Zhou Wanna(School of Information and Engineering of Xi’an Fanyi University,Xi’an Shaanxi 710105)

机构地区：[1]西安翻译学院信息工程学院,陕西西安710105

出　　处：《西安翻译学院论坛》2022年第3期66-69,共4页Forum of Xi'an Fanyi University

摘　　要：确定0/0型和∞/∞型未定式极限的求解是高等数学中有关极限理论的重要内容。本文首先叙述有关Stolz定理的一些已知结论,然后通过直接使用、重复使用、变形求解等方法,利用实例说明Stolz定理的具体应用,充分说明Stolz定理是求解复杂数列极限的有效方法,并且为我们求解数列极限提供一种有效的新途径,对于今后的学习提供很大的帮助。For solving the sequence limit problems with indeterminate form,Stolz theorem is a solid tool.This paper first introduces some known theories of Stolz theorem,and then illustrates the specific application of this theorem through case studies,so as to fully explain that Stolz theorem is an effective method to solve the problems in the limit of sequence.

关 键 词：STOLZ定理 数列极限 变形求解 

分 类 号：O171[理学—数学]