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[函数] 函数不等式 $(x+1)^{\frac1x}(\frac1x+1)^x\le4$

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绝艺如君 posted 2017-3-17 23:16 |Read mode

设$x>0$,求证：$(x+1)^{\frac{1}{x}}(\frac{1}{x}+1)^x\leq 4$.

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original poster 绝艺如君 posted 2017-3-17 23:22

回复 1# 绝艺如君

其实不难，就是麻烦

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色k posted 2017-3-17 23:32

弱于此题：forum.php?mod=viewthread&tid=4465

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其妙 posted 2017-3-21 17:55

回复 3# 色k

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