| 子列在研究极限方面的应用 |
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| 引用本文： | 刘开生,潘书林.子列在研究极限方面的应用[J].天水师范学院学报,2001,21(2):11-12. |
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| 作者姓名： | 刘开生 潘书林 |
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| 作者单位： | 天水师范学院数学系,甘肃,天水,741001 |
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| 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.
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| 关 键 词： | 子列 致密性定理 柯西准则 数列 发散 |
| 文章编号： | 1371-1351(2001)02-0011-02 |
| 修稿时间： | 2000年12月1日 |
Application of subsequence in the study of limit |
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| LIU Kai-sheng.Application of subsequence in the study of limit[J].Journal of Tianshui Normal University,2001,21(2):11-12. |
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| Authors: | LIU Kai-sheng |
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| Abstract: | 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. |
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| Keywords: | subsequence Weierstrass theorem Cauchy criterion for convergence ordered series of numbers divergence |
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