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| 未定式与无穷级数求和 | |
| 引用本文： | 林建伟,黄智伟. 未定式与无穷级数求和[J]. 莆田高等专科学校学报, 2010, 0(2): 9-12 |
| 作者姓名： | 林建伟 黄智伟 |
| 作者单位： | 莆田学院数学与应用数学系,福建莆田351100 |
| 基金项目： | 福建省自然科学基金资助项目（2006J0219）;福建省省属高校基金资助项目（2008F5050） |
| 摘 要： | 一方面，通过几个典型例题的解题分析，突出利用泰勒级数展开求解未定式极限问题的特点；另一方面。通过未定式求极限的思想给出n∑k=1k^2和∞∑n=1n^2求和问题的新方法。 |
| 关 键 词： | 未定式 泰勒级数 无穷级数 |
Indeterminate Form and Summing of Infinite Series |
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| LIN Jian-wei,HUANG Zhi-wei. Indeterminate Form and Summing of Infinite Series[J]. Journal of Putian College, 2010, 0(2): 9-12 | |
| Authors: | LIN Jian-wei HUANG Zhi-wei |
| Affiliation: | (Mathematics ＆ Applied Mathematics Department, Putian University, Putian Fujian 351 I00, China ) |
| Abstract: | This article, on the one hand, emphasizes the feature that Taylor series expansion is used to solve the Limit problem of indeterminate form by analysing several typical examples; On the other hand, by use of limit thinking of indeterminate form we portray the new methods for summing n∑k=1k^2 and ∞∑n=1n^2 respectivly. |
| Keywords: | indeterminate form Taylor series infinite series |
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