| 关于2个幂级数和的收敛半径的说明 |
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| 引用本文： | 滕兴虎,滕加俊,周华任,吴红.关于2个幂级数和的收敛半径的说明[J].高师理科学刊,2008,28(3):86-87. |
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| 作者姓名： | 滕兴虎 滕加俊 周华任 吴红 |
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| 作者单位： | 解放军理工大学理学院,江苏,南京,211101 |
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| 摘 要： | 在众多教材中,仅仅指出了2个幂级数的和在某区间内收敛,而没有对这2个幂级数的和的收敛区间加以说明,因此关于2个幂级数的和的收敛半径往往会产生想当然的结论.为此,文中指出了2个幂级数的和的收敛半径的可能性,并举例予以说明.
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| 关 键 词： | 幂级数 幂级数和 收敛半径 |
| 文章编号： | 1007-9831(2008)03-0086-02 |
| 修稿时间： | 2007年11月10 |
Elucidation about convergence radius of the sum of two power series |
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| TENG Xing-hu,TENG Jia-jun,ZHOU Hua-ren,WU Hong.Elucidation about convergence radius of the sum of two power series[J].Journal of Science of Teachers＇College and University,2008,28(3):86-87. |
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| Authors: | TENG Xing-hu TENG Jia-jun ZHOU Hua-ren WU Hong |
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| Abstract: | In numerous teaching materials,it only point out the sum of two power series is convergence in an open interval,and it has not the elucidation about convergence radius of the sum of two power series.So it often can have the conclusion which takes for granted about the convergence radius of the sum of two power series.For this,pointed out the possibility of the convergence radius to the sum of two power series,and given explanation by some example. |
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| Keywords: | power series sum of power series convergence radius |
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