摘要
根据不同教材关于二重极限的不同定义,讨论了lim(x,y)→(0,0)(x+y)sin1xsin1y的存在性,指出由于定义的不同,这一问题有着两个结论完全相反的答案.
This paper discusses the question on existence of the two-limit lim(x,y)→(0,0)(x+y)sin1xsin1ywith different definitions of two-limit,and points out that there are two answers to this question,which are opposite completely.
出处
《宁德师专学报(自然科学版)》
2002年第4期338-339,共2页
Journal of Ningde Teachers College(Natural Science)
关键词
二元函数
二重极限
定义
two-element function
two-limit
definition