| Lagrange型余项中θ极限问题的进一步研究 |
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| 引用本文： | 谢歆鑫.Lagrange型余项中θ极限问题的进一步研究[J].河南科学,2014(9):1685-1687. |
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| 作者姓名： | 谢歆鑫 |
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| 作者单位： | 西安航空职业技术学院,西安,710089 |
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| 摘 要： | 利用Taylor公式对Lagrange及Taylor中值定理中Lagrange型余项的θ极限问题进行了定量研究.通过对f(x)在x=x0点的某个邻域内低阶可导情形的研究推广到n阶连续可导的情形,进而得到一般性的结论.
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| 关 键 词： | Taylor公式 中值定理 余项 极限 |
Further Research onθLimit of Lagrange Remainder |
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| Xie Xinxin.Further Research onθLimit of Lagrange Remainder[J].Henan Science,2014(9):1685-1687. |
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| Authors: | Xie Xinxin |
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| Institution: | Xie Xinxin (xi＇ an Aeronautical Polytechnic Institute, Xi＇ an 710089, China ) |
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| Abstract: | The quantitative research on θ limit of Lagrange remainder in Lagrange mean value theorem and Taylor mean value theorem has been carried out by using Taylor formula. The research of low-order differentiable within a neighbourhood on f （x） at x=x0 is extended to n order continuously differentiable,and then a general conclusion has been obtained. |
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| Keywords: | Taylor formula mean value theorem remainder limit |
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