| 巧构辅助数列证明介值性定理 |
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| 引用本文： | 胡亚红,梅春亮.巧构辅助数列证明介值性定理[J].丽水学院学报,2007,29(2):16-18. |
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| 作者姓名： | 胡亚红 梅春亮 |
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| 作者单位： | 丽水学院,数理学院,浙江,丽水,323000 |
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| 摘 要： | 通过巧妙地构造辅助数列,应用致密性定理、柯西收敛准则来证明闭区间上连续函数的介值性定理.
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| 关 键 词： | 辅助数列 致密性定理 柯西收敛准则 介值性定理 |
| 文章编号： | 24365774 |
| 修稿时间： | 10 25 2006 12:00AM |
Intermediate Value Theorem Proved by Auxiliary Sequence |
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| Hu Yahong,Mei Chunliang.Intermediate Value Theorem Proved by Auxiliary Sequence[J].Journal of Lishui University,2007,29(2):16-18. |
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| Authors: | Hu Yahong Mei Chunliang |
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| Institution: | College of Mathematics and Physics, Lishui University, Lishui Zhejiang 323000 ,China |
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| Abstract: | We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion. |
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| Keywords: | auxiliary sequence compact theorem Cauchy convergence criterion intermediate value theorem |
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