| 交错级数敛散性的微分形式判别法 |
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| 引用本文： | 郑玉敏,刘玉娟. 交错级数敛散性的微分形式判别法[J]. 高等数学研究, 2010, 13(3): 6-7 |
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| 作者姓名： | 郑玉敏 刘玉娟 |
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| 作者单位： | 河南理工大学数学与信息科学学院,河南焦作,454000;河南理工大学数学与信息科学学院,河南焦作,454000 |
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| 摘 要： | 给出交错级数敛散性微分形式的判别法,应用此判别法可直接判别交错级数是否收敛,以及收敛时是绝对收敛还是条件收敛.
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| 关 键 词： | 交错级数 敛散性 判别法 绝对收敛 条件收敛 |
Differential Form Criterion for the Convergence of Alternating Series |
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| ZHENG Yu Min,LIU Yu Juan. Differential Form Criterion for the Convergence of Alternating Series[J]. Studies In College Mathematics, 2010, 13(3): 6-7 |
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| Authors: | ZHENG Yu Min LIU Yu Juan |
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| Affiliation: | (school of Mathematics and Information Science, Henan Polytechnic University,Jiaozuo, 454000, PRC) |
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| Abstract: | This paper introduces a differential form criterion for the convergence of alternating series. Using this criterion, one can directly determine whether or not a given alternative series is convergent, absolutely convergent, or conditionally convergent. |
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| Keywords: | alternate series convergence criterion absolutely convergence conditional convergence. |
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