目 录摘要........................................................................I关键词......................................................................I第 1 章引言................................................................1第 2 章预备知识............................................................22.1 符号说明...............................................................22.2 定义...................................................................2第 3 章二元函数的极限......................................................33.1 二元函数重极限的基本性质...............................................33.1.1 海涅归结原理.....................................................33.1.2 唯一性定理........................................................53.1.3 局部有界性定理....................................................53.1.4 局部保号性定理....................................................53.2 重极限与累次极限的关系.................................................6第 4 章二元函数的连续性...................................................104.1 连续函数在有界闭域上的性质............................................104.1.1 介值性定理......................................................104.1.2 一致连续性定理..................................................104.1.3 有界性与最值定理................................................104.1.4 局部保号性定理..................................................114.2 二元函数对单个变量的连续性与该函数连续性的关系........................12第 5 章总结...............................................................15参考文献...................................................................16二元函数的极限与连续性（数学与统计学院, 2016 级数学与应用数学 3 班）摘要: 在多元函数的极限与连续性中, 着重讨论了二元函数的极限与连续性. 本文全面整理了二元函数的极限性质与连续性质, 试讨论了二元函数的两个极限关系与连续性问题.关键词： 二元函数; 极限; 连续性Limit and Continuity of Binary FunctionsDI Hua(Cla...
