问题描述: 设xn<=a<=yn,且n趋向与无穷时lim(yn-xn)=0,则{xn}与{yn}的敛散情况? 1个回答 分类:综合 2014-10-26 问题解答: 我来补答 ∵ xn ≤ a ≤ yn∴ 0 ≤ |xn-a| ≤ |xn-yn|0 ≤ |yn-a| ≤ |xn-yn| ∴ 由夹逼定理:lim(n->∞) xn-a = 0 即:lim(n->∞) xn = a lim(n->∞) yn-a = 0 即:lim(n->∞) yn = a 展开全文阅读