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Another inequality with powers: The proof for previous inequality does not trivially extend, I guess.

$$\text{For}\; n>2,\quad\quad(2n)^{n-1}> 1^{n-1}+3^{n-1}+...+\left( 2n-3\right) ^{n-1}+\left( 2n-1\right) ^{n-1}$$

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    That's not a power series, it is a finite sum with constant powers.2012-11-26
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    You are absolutely right, corrected.2012-11-26

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