| 中值定理“中间点”的渐近性 |
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| 引用本文： | 张学华. 中值定理“中间点”的渐近性[J]. 兰州理工大学学报, 1990, 0(1) |
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| 作者姓名： | 张学华 |
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| 作者单位： | 甘肃工业大学基础课教学研究部 |
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| 摘 要： | 本文对Taylor中值定理的“中间点”的渐近性提供了证明,改进了有关论文所提出的假设条件,将定理需设函数f(x)的n+1阶导数f~((n+1))(x)在点α不仅存在而且连续的条件降低为f~((n+1))(x)只在点α存在。
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| 关 键 词： | 微积分 函数 极限 中间点 渐近性 |
the Asymptotic Behaviour of the Intermediate Point in the Mean Value Theorem |
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| Zhang Xuehua. the Asymptotic Behaviour of the Intermediate Point in the Mean Value Theorem[J]. Journal of Lanzhou University of Technology, 1990, 0(1) |
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| Authors: | Zhang Xuehua |
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| Affiliation: | Department of Basic Courses Teaching |
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| Abstract: | A new proof of the asymptotic behaviour of intermediate point in Taylor Formula is given in this paper. The conditions for proofing advanced in relevat papers are simplified.The condition of being not only in existence but also continuous at the point x are reduced to being in existence only. |
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| Keywords: | calculus function limit intermediate point asymptotic behaviour |
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