多元微积分中二重极限计算方法及解析  

Study on the calculation methods of double limit and its explanations in multivariable calculus course

作　　者：马艳丽[1] 褚正清[1] MA Yan-li;CHU Zheng-qing(Department of General Education,Anhui Xinhua University,Hefei 230088,China)

机构地区：[1]安徽新华学院通识教育部

出　　处：《佛山科学技术学院学报（自然科学版）》2020年第1期33-38,共6页Journal of Foshan University(Natural Science Edition)

基　　金：安徽新华学院校级教学团队项目(2016jxtdx03);安徽新华学院“骨干教师”项目(2018jxgg31)

摘　　要：二重极限的计算是多元微积分中必须掌握的基本运算,同时也是学生学习的一个难点。详细介绍了二重极限的计算方法或二重极限不存在的判断方法,并给出了具有代表性的例题进行方法解析,旨在使学生对二重极限的计算方法与计算技巧有更深地理解和掌握。The calculation of double limit is the basic operation for multivariable calculus learning.It is also the difficulty point which is not easy for students to learn.In higher mathematics,the calculation method of the double limit is not detailed enough in many textbooks and reference books.This paper introduces the calculation method of double limit and the judging method of the nonexistence of double limit and analyzes them with typical examples,which helps the deep understanding for operation methods and skills of double limit.

关 键 词：二元函数 极限 方法 法则 

分 类 号：O171[理学—数学]