| 正项级数比值判别法的极限形式的推广 |
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| 引用本文： | 陈宇.正项级数比值判别法的极限形式的推广[J].怀化学院学报,2009,28(8):21-22. |
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| 作者姓名： | 陈宇 |
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| 作者单位： | 怀化学院,数学系,湖南,怀化,418008 |
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| 摘 要： | 针对比值判别法的极限形limx→∞un+1/un=q=1的不定情形,对比值判别法的极限形式进行推广,通过limx→∞(un/un+1)n=r可判定当比值判别法的极限形式中limx→∞(un+1/un)=q=1时,一些正项级数的敛散性.
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| 关 键 词： | 正项级数 比值判别法的极限形级 收敛 |
The Extension of Ratio Test about Convergence of Positive Series |
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| CHEN Yu.The Extension of Ratio Test about Convergence of Positive Series[J].Journal of Huaihua University,2009,28(8):21-22. |
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| Authors: | CHEN Yu |
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| Institution: | Department of Mathematics;Huaihua University;Huaihua;Hunan 418008 |
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| Abstract: | The convergence of positive series ∑∞n=1un is inconclusive,if limx→∞un+1un=q=1.Based on this case,this paper extends ratio test about convergence of positive series,and we can test the convergence of positive series ∑∞n=1un by applying the limit form limx→∞(unun+1)n=r. |
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| Keywords: | positive series the limit form of ratio test convergence |
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