| 泰勒定理的一个证明方法 |
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| 引用本文： | 陈善我,李春辉,刘芳,钱卫东.泰勒定理的一个证明方法[J].攀枝花学院学报,1994(1). |
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| 作者姓名： | 陈善我 李春辉 刘芳 钱卫东 |
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| 作者单位： | 攀枝花大学基础部
(陈善我，李春辉，刘芳)，攀枝花大学基础部(钱卫东) |
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| 摘 要： | 证明拉格朗日型余项的泰勒定理有很多方法。本文介绍一种借助拉格郎日中值定理和积分中值定理用积分法来证明的方法,所得的定理条件与结论都较强。但条件是极易满足的,结论强则便于用以研究问题,具有很大的实用性。
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| 关 键 词： | 拉格朗日定理推广 积分中值定理 反函数 中间值函数 |
A METHOD TO PROVE TAYLOR' S THEOREM |
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| Chen Shanwo Qian Weidong.A METHOD TO PROVE TAYLOR' S THEOREM[J].Journal of Panzhihua University,1994(1). |
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| Authors: | Chen Shanwo Qian Weidong |
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| Abstract: | Taylor' s theorem, which possesses the form of Lagrange remainder tden, can be proved in many ways, this article introduces a method by which Taylor' s Teorem is provde by means of integration with the help of both Lagrange mean Value theorem and the integral mean Value theorem. The conditions required for thd proof are conpara-tively high,yet they can be easily satisfied. And the conclusion therefrom is more powerful, which renders the Theorem more prastiability and makes it more useful and convenient in studying and solving problems. |
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| Keywords: | Extended Lagrabge' s Theorem integral mean Value theorem inverse function intermediate value function |
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