| 反常积分与无穷级数收敛性关系探析 |
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| 引用本文： | 李娟.反常积分与无穷级数收敛性关系探析[J].安康学院学报,2013(6):26-27,35. |
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| 作者姓名： | 李娟 |
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| 作者单位： | 陇南师范高等专科学校数学系,甘肃成县742500 |
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| 摘 要： | 反常积分与无穷级数是《数学分辛斤》中的重要内容，其收敛性在本质上有着密切的联系，这为我们提供了进行平行类比学习的理论依据，但也应该看到二者的差别，即无穷积分∫a＇f（x）dx收敛却未必有lim x→∞f（x）=0.为此，讨论了无穷积分∫a＇f（x）dx收敛则lim x→∞f（x）=0的若干充分条件。
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| 关 键 词： | 反常积分 无穷级数 关系 充分条件 |
Study on the Relationship between the Infinite Series and Integral |
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| LI Juan.Study on the Relationship between the Infinite Series and Integral[J].Journal of Ankang Teachers College,2013(6):26-27,35. |
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| Authors: | LI Juan |
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| Institution: | LI Juan (Longnan Teachers College, Chengrdan 742500, Gansu, China) |
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| Abstract: | It provides us a theoretical basis of parallel learning by analogy, however, we should see the difference between them, that is to say convergence may not let . Therefore, this paper discusses some suiilcient conditions on convergence. |
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| Keywords: | improper integral infinite series relationship sufficient condition |
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