| 利用数列判别正项级数的敛散性 |
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| 引用本文： | 刘开生,王贵军.利用数列判别正项级数的敛散性[J].北京联合大学学报(自然科学版),2011,25(3):67-69,73. |
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| 作者姓名： | 刘开生 王贵军 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水,741001 |
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| 基金项目： | 天水师范学院计划项目资助(TSB0512) |
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| 摘 要： | 每给一个数列{an},则对应一个级数Σan,反之每给一个级数Σun,必对应至少一个数列{an}或{sn},因此数列的敛散性必然与级数的敛散性有关。应用数列与级数的关系,给出利用数列判别正项级数敛散性的一些方法,使得对正项级数敛散性的判别又多了许多简单而且实用的方法。
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| 关 键 词： | 数列 级数 敛散性 |
Judge the Convergence and Divergence of Positive Series by Sequence |
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| LIU Kai-sheng,WANG Gui-jun.Judge the Convergence and Divergence of Positive Series by Sequence[J].Journal of Beijing Union University,2011,25(3):67-69,73. |
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| Authors: | LIU Kai-sheng WANG Gui-jun |
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| Institution: | LIU Kai-sheng,WANG Gui-jun(Mathematics and Statistics College of Tian Shui Normal University,Tianshui Gan Su 741001,China) |
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| Abstract: | The convergence and divergence of sequence and series are related closely because of a sequence {an} corresponding to a series Σan and a series Σan corresponding to a sequence {an} or a sequence {Sn}.Some methods to judge the convergence and divergence of positive series by the relation of sequence and series are obtained and these methods are simpler and more practical. |
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| Keywords: | sequence series convergence and divergence |
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