考研数学中求极限方法的总结  

The Summary of the Limit Method in the Mathematics of Entrance Examination

作　　者：徐晓静 

机构地区：[1]沈阳师范大学 辽宁 沈阳

出　　处：《理论数学》2021年第5期973-978,共6页Pure Mathematics

摘　　要：极限是数学分析的基础,在数学分析中的连续、可导、微分、定积分、广义积分、级数以及多元函数的积分和微分中等都是运用极限的观点和定义并讨论的。可以说极限论是初等数学和高等数学的分水岭。因此在许多学校的研究生入学考试中求极限问题成了必考题。本篇文章介绍的是几种常见的求极限的计算方法,并通过实例进行分析。Limit is the basis of mathematical analysis. In the mathematical analysis, the continuity, derivabil-ity, differentiation, definite integral, generalized integral, series and the integration and differen-tiation of multivariate functions are all discussed by using the point of view and definition of limit. It can be said that limit theory is the watershed between elementary mathematics and advanced mathematics. Therefore, in the graduate student entrance examination in many schools, seeking the limit becomes the basic question that must take an examination. This article is introduced several kinds of common limit calculation method through the example to analyze.

关 键 词：极限 数列极限 函数极限 

分 类 号：O17[理学—数学]