摘要
给出了子列的几个重要性质，应用这些性质巧妙地给出致密性定理及数列收敛的柯西准则的证明，并利用子列讨论数列的发散问题．
Some of the important properties of subsequence are given. By using these properties the paper cleverly provides Weierstrass theorem and Cauchy criterion for convergence. It also examines divergence problems of ordered series of numbers with subsequence.
出处
《天水师范学院学报》
2001年第2期11-12,共2页
Journal of Tianshui Normal University
关键词
子列
致密性定理
柯西准则
数列
发散
发敛
极限
subsequence
Weierstrass theorem
Cauchy criterion for convergence
ordered series of numbers
divergence
