巧构辅助数列证明介值性定理  

Intermediate Value Theorem Proved by Auxiliary Sequence

作　　者：胡亚红[1] 梅春亮[1] 

机构地区：[1]丽水学院数理学院,浙江丽水323000

出　　处：《丽水学院学报》2007年第2期16-18,共3页Journal of Lishui University

摘　　要：通过巧妙地构造辅助数列,应用致密性定理、柯西收敛准则来证明闭区间上连续函数的介值性定理。We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion.

关 键 词：辅助数列 致密性定理 柯西收敛准则 介值性定理 

分 类 号：O172.13[理学—数学]