有关Stolz定理的推广及应用

数列极限问题是数学分析的基本问题之一,贯穿于数学分析的始终。求极限问题的方法多种多样,其中常常会遇到求不定式的极限,而Stolz定理是处理此类问题的重要工具。本文在已有文献的基础上,对该定理作了进一步的研究,将其推广到更一般的情形上,在一定程度上简化了某些具有特殊结构的不定式的极限运算.

The Popularization of the Stolz Theorem

Through the Mathematics Analysis,limit of sequence of numbers is one of the fundamental issues.The limit with indeterminate form is common in solving the problems with varied methods,and Stolz theorem is an important tool to deal with it.In this paper,based on the study on the literatures,further research on Stolz theorem had extended to more general cases.In a certain extent,it can simplify the operation on some special structure limit.