| 证明数列{(1+1n)n}递增且有上界的几种方法 |
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| 引用本文： | 胡国华.证明数列{(1+1n)n}递增且有上界的几种方法[J].南方冶金学院学报,2002,23(1):69-71,78. |
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| 作者姓名： | 胡国华 |
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| 作者单位： | 赣州市技工学校 江西赣州341000 |
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| 摘 要： | 通过将数列{(1 1/n)^n}按二项式定理展开的方法，以及用到三个著名的不等式来分别证明该数列递增且有上界。
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| 关 键 词： | 数列 不等式 递增 上界 证明 极限 数学分析 |
| 文章编号： | 1007-1229(2002)01-0069-03 |
Several Methods to Prove the Increase by Degrees and Upper Bound of Sequence of Number |
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| HU Guohua.Several Methods to Prove the Increase by Degrees and Upper Bound of Sequence of Number[J].Journal of Southern Institute of Metallurgy,2002,23(1):69-71,78. |
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| Authors: | HU Guohua |
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| Abstract: | The paper proves the increase by degrees and,upper bound of sequence of num-ber by the means of expanding the sequence of number with binomial theorem and three well-known inequalities. |
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| Keywords: | sequence of number inequality increase by degrees upper bound |
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