| 等比级数在函数展开成幂级数中的应用 |
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| 引用本文： | 于洋.等比级数在函数展开成幂级数中的应用[J].企业科技与发展,2010(12):130-132. |
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| 作者姓名： | 于洋 |
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| 作者单位： | 东北财经大学数学与数量经济学院,辽宁大连110025 |
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| 摘 要： | 函数的幂级数展开是高等数学的教学重点之一,在解决函数的幂级数展开的问题中,等比级数起着重要的作用。文章介绍了利用等比级数将函数展开成幂级数的常见情形,并给出了具体的例子。
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| 关 键 词： | 等比级数 幂级数 展开 |
The Applications of Geometric Series in Expanding a Function to a Power Series |
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| Authors: | YU Yang |
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| Institution: | YU Yang (School of Mathematics and Quantitative Economics of Dongbei University of Finance and Economics,Dalian Liaoning 110025) |
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| Abstract: | The expansion of function＇ s power series is one of the key points in higher mathematics teaching.The geometric series plays an important role in solving it.The article gives a brief account on the usual cases of the applications of expanding a function to a power series by geometric series and gives several specific examples. |
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| Keywords: | geometric series power series expansion |
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