| 基于泰勒公式应用的几个问题 |
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| 引用本文： | 朱永生,刘莉.基于泰勒公式应用的几个问题[J].长春师范学院学报,2006(8). |
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| 作者姓名： | 朱永生 刘莉 |
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| 作者单位： | 哈尔滨师范大学呼兰学院数学系 哈尔滨师范大学呼兰学院数学系 黑龙江哈尔滨 黑龙江哈尔滨 |
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| 摘 要： | 探讨了泰勒公式在定义某些初等函数,讨论某些复杂级数的敛散性,求某些复合函数的极限,对某些定积分进行近似计算,求某些微分方程的通解几个方面的一些应用。
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| 关 键 词： | 泰勒公式 泰勒级数 非初等函数 极限 定积分 |
Some Problems of Taylor Formula's Applications |
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| ZHU Yong-Sheng LIU Li.Some Problems of Taylor Formula''''s Applications[J].Journal of Changchun Teachers College,2006(8). |
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| Authors: | ZHU Yong-Sheng LIU Li |
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| Abstract: | Several aspects of Taylor formula's applications are discussed in this article.The author emphasizes that they are applied to define some non-elementary functions,talks about some complicated series' convergence property,studies some composite functions' limit,estimates some functions' integral,and explores the general integral of some differential equations in this paper. |
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| Keywords: | Taylor formula Taylor series elementary function limit integral |
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