| 根值判别法的两个推广 |
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| 引用本文： | 龙小胖.根值判别法的两个推广[J].数学学习,2011,14(1):45-47. |
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| 作者姓名： | 龙小胖 |
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| 作者单位： | 井冈山大学,数学系,江西,吉安,343009 |
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| 摘 要： | 讨论正项级数的根值判别法．若将判别极限lim↓n→∞ n√an更改为lim↓n→∞或lim↓n→∞^n√am^n＋i，则相应结果在一定条件下将比原判别方法更为精细，且应用范围也有所推广．
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| 关 键 词： | 正项级数 根值判别法 敛散性 |
Two Variation the Root Test |
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| LONG Xiao-pang.Two Variation the Root Test[J].Studies In College Mathematics,2011,14(1):45-47. |
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| Authors: | LONG Xiao-pang |
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| Affiliation: | LONG Xiao-pang (Department of Mathematics, Jinggangshan university, Ji＇an 343009, PRC) |
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| Abstract: | Two new root tests lim lim↓n→∞ n√an and lim↓n→∞ lim↓n→∞^n√am^n＋i for series with positive term are introduced and the corresponding results are discussed. These tests seem more precise and useful in some situations. |
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| Keywords: | positive series root test convergence and divergence property |
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