| 一个数列单调有界性的一种证明 |
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| 引用本文： | 侯玉双,朱艳霞,何莉敏.一个数列单调有界性的一种证明[J].数学学习,2011(5):54-55. |
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| 作者姓名： | 侯玉双 朱艳霞 何莉敏 |
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| 作者单位： | [1]内蒙古科技大学数理与生物工程学院,内蒙古包头014010 [2]内蒙古农业大学理学院,内蒙古呼和浩特010018 |
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| 摘 要： | 针对高等数学教材关于重要极限limn→∞（1＋1/n）^n的存在性证明过于繁琐的问题，提出运用均值不等式证明数列{（1＋1/n）^n}单调有界的方法，以使该重要极限的整个证明过程得以简化．
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| 关 键 词： | 均值不等式 单调有界准则 童要极限 |
A Bounded Monotonic Sequence |
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| HOU Yu-shuang,ZHU Yan-xia,HE Li-min.A Bounded Monotonic Sequence[J].Studies In College Mathematics,2011(5):54-55. |
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| Authors: | HOU Yu-shuang ZHU Yan-xia HE Li-min |
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| Institution: | 1. School of mathematics, physics and biological engineering, Inner Mongolia University of Science and Technology, Baotou 014010, PRC; 2. School of science, Inner Mongolia Agricultural University, Hohhot 010018, PRC) |
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| Abstract: | This paper is intended to use the average inequality to provide a simple proof for the boundedness and monotonicity of the sequence {（1＋1/n）^n},which played an important rolein advance mathematics. |
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| Keywords: | average inequality bounded monotonic limit |
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