三元函数的重极限与混合极限

Multiple Limit and Mixed Iterated Limit of Trivariate Functions

本文引入了三元函数的混合极限概念,对三元函数的混合极限与重极限的区别及联系进行了探讨.结论表明,三元函数的混合极限与重极限之间没有必然的蕴含关系,另一方面,在一定条件下二者也存在着联系.

In this paper,the concept of the mixed iterated limit of trivariate functions is introduced,and the difference and relationship between the mixed iterated limit and multiple limit are discussed.The conclusion is that there is no implication between them in general,but implication relation exists under certain conditions.