| 拉格朗日中值定理的证明及应用 |
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| 引用本文： | 殷月.拉格朗日中值定理的证明及应用[J].辽宁师专学报(自然科学版),2014,16(3):18-20. |
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| 作者姓名： | 殷月 |
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| 作者单位： | 锦州师专,辽宁锦州,121000 |
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| 摘 要： | 中值定理是微分学的基本定理,是应用导数研究函数在区间上整体性态的有力工具,其中拉格朗日中值定理是核心内容.给出拉格朗日中值定理的三种证明方法及其在级数散敛性方面的应用.
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| 关 键 词： | 拉格朗日中值定理 极坐标转换法 三角形面积法 区间套证明法 |
The certification and application of Lagrange's mean value theorem |
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| YIN Yue.The certification and application of Lagrange's mean value theorem[J].Journal of Liaoning Teachers College(Natural Science Edition),2014,16(3):18-20. |
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| Authors: | YIN Yue |
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| Institution: | YIN Yue (JinZhou Teachers College, Jinzhou Liaoning 121000) |
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| Abstract: | Mean value theorem is the basic theory in differential calculus, which is the powerful tool for using derivative to study function integral behavior on the interval form, and the Lagrange＇s mean value is the core. In this paper, the three ways of testifying the Lagrange＇s mean value and its application in the series convergence property are given. Meanwhile, some typical problems are solved by using the Lagrange＇s mean value theorem. |
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| Keywords: | Lagrange＇ s mean value theorem polar coordinates transformation method triangle area method interval sequence proof method |
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