浅谈数列极限概念的教学  

On Teaching the Concept of Limit of Sequence

作　　者：喻丽菊[1] 马柏林[1] YU Liju MA Bolin(College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, PRC)

机构地区：[1]嘉兴学院数理与信息工程学院,浙江嘉兴314001

出　　处：《高等数学研究》2017年第5期1-4,共4页Studies in College Mathematics

摘　　要：极限概念是高等数学的基本概念,也是应用现代数学理论于各门科学的关键概念之一.对于刚入校的大学生来说,因为其思维方式与中学有很大的不同,学习起来会很困难.本文按照华罗庚先生所说的"生书熟讲"的方式,探讨如何将极限概念的教学与已有的不等式的概念联系起来,并根据数列的特点,分类讨论了用极限定义验证数列极限时各种求解定义中N的方法.The concept of limit of sequence is fundamental in Advanced Mathematics. It plays an important role in applying mathematics to many other subjects. Because of the quite different study patterns between the high schools and universities, there is a challenge for college freshmen to master the concept of limit of sequence. In this paper, using the idea of ＂explaining the strange concept with familiar one＂ from professor Loo-Keng Hua,a famous mathematician, we discuss how to understand the concept of limit of sequence by the aid of inequality. Moreover, according to its characteristics, we investigate how to use the concept to test the limits of different sequences, where the key steps are the methods of seeking N with given.

关 键 词：数列极限 不等式 非线性 

分 类 号：O171[理学—数学]