多元函数极限的一个注记  

A note on the limit of multivariate functions

作　　者：陶志雄[1] 

机构地区：[1]浙江科技学院理学院,杭州310023

出　　处：《浙江科技学院学报》2017年第5期391-393,共3页Journal of Zhejiang University of Science and Technology

基　　金：浙江省自然科学基金项目(LY12A01025)

摘　　要：有时求多元函数极限会出现一些低级错误,这些错误学生稍不留意就会被误导而不自知,而引起这些错误的主要原因是缩小了函数的定义域。为此,列举了一些错误做法,并给出了正确的做法。进而提供了一些结论,如果教科书罗列这些结论,那么这些本不合理的做法将成为合理的便利的做法。The calculations of the limit of a multivariate function are occasionally accompanied with some low-level errors,which tend to mislead students if they are not careful enough.In the calculation process,these errors are mainly attributed to reduction of the domain of the function.The article presents examples of these errors together with correct approaches,on the basis of which the article finally draws some conclusions.If they are quoted in the textbook,the approaches thought to be unreasonable will turn out to be reasonable and convenient.

关 键 词：高等数学 数学分析 多元函数 极限 

分 类 号：G642.0[文化科学—高等教育学] O172[文化科学—教育学]