| 由Cauchy判别法和D'Alembert判别法所得到的结论及其应用 |
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| 引用本文： | 丁殿坤,王鲁新. 由Cauchy判别法和D'Alembert判别法所得到的结论及其应用[J]. 安庆师范学院学报(自然科学版), 2006, 12(2): 28-30 |
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| 作者姓名： | 丁殿坤 王鲁新 |
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| 作者单位： | 山东科技大学,公共课部,山东,泰安,271019 |
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| 摘 要： | 求幂级数的收敛半径,一般都用D′Alembert判别法,用Cauchy判别法亦可求幂级数的收敛半径,因此,本文由D′Alembert判别法和Cauehy判别法得到了有关的结论,从而可应用结论求形如lim(ψ(n))~(1|2)(?)或lim(ψ(x))~(1|2)(?)的极限。
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| 关 键 词： | 收敛半径 D'Alembert判别法 Cauchy判别法 结论及其应用。 |
| 文章编号： | 1007-4260（2006）02-0028-03 |
| 收稿时间： | 2005-10-18 |
| 修稿时间： | 2005-10-18 |
The Conclusion Based on the Criteria of D/Alembert and of Cauchy and its Application |
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| DING Dian-kun,WANG Lu-xin. The Conclusion Based on the Criteria of D/Alembert and of Cauchy and its Application[J]. Journal of Anqing Teachers College(Natural Science Edition), 2006, 12(2): 28-30 |
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| Authors: | DING Dian-kun WANG Lu-xin |
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| Affiliation: | Public Class Department, Shandong University of Science and Technology, Shandong Taian 271019 |
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| Abstract: | Convergence radius of the power series can be obtained by the criterion of D/Alembert.However,the criterion of Cauchy can also help us do that.This paper will tell you of the conclusion based on the criteria of D/Alembert and of Cauchy.Hence,the limits like this can be solved by the method in the paper. |
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| Keywords: | the convergence radius the criterion of D'Alembert the criterion of Cauchy conclusion and application. |
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