二元函数求极限的非常规解法  

Unconventional Methods for Solving the Limit of Bivariate Functions

作　　者：方园[1] 李杨[1] 杨利峰[1] 

机构地区：[1]阜阳师范学院经济学院,安徽阜阳236037

出　　处：《内江师范学院学报》2016年第12期25-28,共4页Journal of Neijiang Normal University

基　　金：安徽省大学生创新项目(201510371051);阜阳师范学院学生项目(FSYXSKY185);阜阳师范学院教研项目(2015JYXM13)

摘　　要：为了解决二元函数极限中由于自变量个数增加给学生解题带来的困扰.利用等价无穷小代换、基本不等式法、倒数法三种非常规解方法,并结合常规解法对二元函数极限求解.该方法解题思路清晰,简单易懂.Students often find it difficult in solving the limit problem of bivar functions, especially when the number of independent variables increases. To rid students of this headache, the three unconventional methods of equivalence infinitesimal replacement, elementary inequality and reciprocal were employed in solving the limit of bivar functions in combination with other conventional approaches. The said method is characteristic of clarity in train of thought, and easy intelligibility.

关 键 词：二元函数 极限 等价无穷小代换 基本不等式 倒数法 

分 类 号：O174.1[理学—数学]