| 级数的收敛速度与正项级数判敛法的关系 |
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| 引用本文： | 俞文辉.级数的收敛速度与正项级数判敛法的关系[J].南昌职业技术师范学院学报,2005(4):38-40. |
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| 作者姓名： | 俞文辉 |
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| 作者单位： | 江西机电职业技术学院,江西,南昌,330001 |
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| 摘 要： | 本文提出正项级数各不相同的敛散判别法事实上是以不同敛散速度的级数办标准而建立的．进而给出正项级数不同敛散判别法所依据的级数。本文还明确了没有敛散得最慢的正项级数并予以证明。在文章的最后．作者时基于同一标准级数所建立的不同判别法的有效性作了比较。
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| 关 键 词： | 正项级数 敛散速度 判别法 |
| 文章编号： | 1007-3558（2005）04-0038-03 |
| 收稿时间： | 2005-05-10 |
| 修稿时间： | 2005年5月10日 |
The Relation Between the Rate of Series Convergence & the Appreciation Convergence of Positive Term Series |
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| Yu Wehui.The Relation Between the Rate of Series Convergence & the Appreciation Convergence of Positive Term Series[J].Journal of Nanchang Vocational & Technical Techers' College,2005(4):38-40. |
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| Authors: | Yu Wehui |
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| Abstract: | The paper holds that all kinds of different convergence and divergence criterions for positive term series are established according to the series of different convergence and divergence rate.It puts forward the series on which the convergence criterions of positive term series are based,and confirms that the slowest positive term series doesn't exist after making a theoretical analysis.It makes a comparison of the availability between different criterions based on the same standard series. |
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| Keywords: | positive term series the rate of convergence and divergence differentiating method |
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