| 一类交错级数的敛散性判定 |
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| 引用本文： | 宋文超,董国雄,龚东山. 一类交错级数的敛散性判定[J]. 高师理科学刊, 2010, 30(4): 9-11. DOI: 10.3969/j.issn.1007-9831.2010.04.003 |
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| 作者姓名： | 宋文超 董国雄 龚东山 |
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| 作者单位： | 兰州大学,数学与统计学院,甘肃,兰州,730000 |
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| 基金项目： | 国家自然科学基金对外交流与合作项目，中科院西部之光联合学者项目 |
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| 摘 要： | 级数的敛散性判定本质上是函数极限的计算.基于高等数学中级数敛散性判别的多种方法,并利用特殊函数的极限,给出了一类交错级数的敛散性.
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| 关 键 词： | 交错级数 敛散性 极限 莱布尼茨定理 |
The criterion for the convergence or divergence of a kind of alternate series |
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| SONG Wen-chao,DONG Guo-xiong,GONG Dong-shan. The criterion for the convergence or divergence of a kind of alternate series[J]. Journal of Science of Teachers＇College and University, 2010, 30(4): 9-11. DOI: 10.3969/j.issn.1007-9831.2010.04.003 |
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| Authors: | SONG Wen-chao DONG Guo-xiong GONG Dong-shan |
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| Affiliation: | (School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China) |
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| Abstract: | The criterion for the convergence or divergence of series is essentially the computation of the limit of function.Gave a criterion for the convergence or divergence of a kind of alternate series by using the limit of particular functions,based on the methods on criterion for the convergence or divergence of series in advanced mathematics. |
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| Keywords: | alternate series convergence or divergence limit Leibniz theorem |
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