| 数列与级数收敛性判定的一个注记 |
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| 引用本文： | 倪培溉.数列与级数收敛性判定的一个注记[J].中国民航学院学报,2009,27(2):57-59. |
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| 作者姓名： | 倪培溉 |
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| 作者单位： | 中国民航大学理学院,天津,300300
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| 基金项目： | 中国民航大学教育教学研究课题立项项目 |
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| 摘 要： | 数列xnm^（k）～rnm^（k）＋q审敛原理是数列xnm～rnm＋p审敛原理更加一般性的推广，进一步扩大了数列xnm～rnm＋p审敛原理的适用范围；利用数列xnm～rnm＋p印审敛原理还得到了判别数列收敛性的“子列～局部夹”准则。
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| 关 键 词： | 数列 子列 级数 收敛 |
Note on Distinguishing Astringency of Sequence and Series |
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| NI Pei-gai.Note on Distinguishing Astringency of Sequence and Series[J].Journal of Civil Aviation University of China,2009,27(2):57-59. |
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| Authors: | NI Pei-gai |
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| Institution: | NI Pei-gai (College of science, CA UC, Tianjin 300300, China) |
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| Abstract: | Expending the convergence principle for the sequence xnm-rnm＋p , we get the convergence principle for the sequence xnm-rnm＋q , which enlarges the applicable range of the convergence principle for the sequence xnm-rnm＋p. Based on the convergence principle for the sequence xnm-rnm＋p , we also get the ＂subsequence-local nip＂ rule which distinguishes the astringency of sequence. |
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| Keywords: | self-segquenee subsequenee series convergence |
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