| 交错级数敛散性的一个新判别准则 |
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| 引用本文： | 钱伟懿.交错级数敛散性的一个新判别准则[J].高师理科学刊,2009,29(2). |
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| 作者姓名： | 钱伟懿 |
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| 作者单位： | 渤海大学,数学系,辽宁,锦州,121000 |
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| 基金项目： | 辽宁省教育厅资助项目 |
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| 摘 要： | 交错级数是数学分析重要内容之一,对交错级数敛散性的判别方法目前并不多.关于交错级数的敛散性,给出一个新的判别准则,利用这个准则不仅能够判定一个交错级数的敛散性,而且能够判定交错级数是绝对收敛还是条件收敛.选择实例对给出的判别准则的可行性进行了检验.
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| 关 键 词： | 交错级数 判别准则 收敛 发散 |
An new criterion for convergence or divergence of alternating series |
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| QIAN Wei-yi.An new criterion for convergence or divergence of alternating series[J].Journal of Science of Teachers＇College and University,2009,29(2). |
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| Authors: | QIAN Wei-yi |
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| Affiliation: | Department of Mathematics;Bohai University;Jinzhou 121000;China |
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| Abstract: | Alternating series is one of important contents in mathematical analysis,now,there are not many criterions about convergence or divergence of alternating series.Established a new criterion to decide convergence or divergence of alternating series.Based on the convergence criterion,can decide not only convergence or divergence but also absolute convergent or conditional convergent of alternating series.Selected some examples to test the feasibility of the proposed criterion. |
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| Keywords: | alternating series criterion convergence divergence |
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