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[不等式] 一个经典问题

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guanmo1 posted 2018-5-2 22:59 |Read mode
不用二项式定理.png

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战巡 posted 2018-5-3 02:44
回复 1# guanmo1

当$n\ge 6$时
\[(1+\frac{1}{n})^{n}<(1+\frac{1}{n})^{n+1}\le(1+\frac{1}{5})^6<3\]

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original poster guanmo1 posted 2018-5-3 06:49
回复 2# 战巡


    我也这样证明的,但放到n=2时不行,是27/8。看来也只能往后试了。

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