| 用聚点来描述的数列的敛散性 |
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| 引用本文： | 张金.用聚点来描述的数列的敛散性[J].宁德师专学报(自然科学版),2010,22(2):128-130. |
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| 作者姓名： | 张金 |
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| 作者单位： | 宿迁高等师范学校数学系,江苏宿迁,223800 |
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| 摘 要： | 通过对数列的聚点的讨论,给出并证明了一个判别数列敛散性的结论,然后应用结论证明数列收敛的单调有界定理与柯西收敛准则.
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| 关 键 词： | 聚点 数列 收敛 发散 |
The convergence and divergence of sequences described by accumulation points |
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| ZHANG Jin.The convergence and divergence of sequences described by accumulation points[J].Journal of Ningde Teachers College(Natural Science),2010,22(2):128-130. |
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| Authors: | ZHANG Jin |
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| Institution: | ZHANG Jin(Department of Mathematics,Suqian Higher Normal School,Suqian Jiangsu 223800,China) |
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| Abstract: | In this paper the author investigated the accumulation points of sequences,presented a decision theorem in the convergence and divergence of sequences and showed the proof of it.Using one of its corollary,two well-known results in mathematical analysis were proved. |
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| Keywords: | accumulation point sequences convergence divergence |
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