| 调和级数的发散及其应用 |
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| 引用本文： | 彭淑梅,魏树国.调和级数的发散及其应用[J].北京工业职业技术学院学报,2008,7(3):125-128. |
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| 作者姓名： | 彭淑梅 魏树国 |
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| 作者单位： | 1. 首都师范大学,北京,100037;北京工业职业技术学院,北京,100042
2. 北京工业职业技术学院,北京,100042 |
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| 摘 要： | 级数是表示函数、进行数值计算的一个有力工具。调和级数作为级数的一个基本成员，结构简单。调和级数的发散及其应用给出了调和级数发散性的4种证明；并分别在比较审敛法和极限比较判别法中，举例说明调和级数在判断无穷级数的敛散性时的标尺作用。
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| 关 键 词： | 调和级数 发散性 收敛性 应用 |
Divergence and Application of Harmonic Series |
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| Peng Shumei,Wei Shuguo.Divergence and Application of Harmonic Series[J].Journal of beijing vocational & technical institute of industry,2008,7(3):125-128. |
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| Authors: | Peng Shumei Wei Shuguo |
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| Institution: | Peng Shumei1,2 Wei Shuguo2 (1.Capital Normal University,Beijing 100037,China,2.Beijing Polytechnic College,Beijing 100042,China) |
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| Abstract: | Series is important in function and numeric computation.As one member of the series family,Harmonic Series has a simple structure.Its application provides four proofs for the divergence of Harmonic Series.In the comparative and limit comparative discriminance,we illustrate the criterion to judge the convergence and the divergence of an infinite series with Harmonic Series. |
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| Keywords: | Harmonic Series divergence convergence application |
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