An inequality

Calculus (Integrals, Series)
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mathofusva
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Joined: Tue May 10, 2016 3:56 pm

An inequality

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Post by mathofusva »

For $x > 0$, prove that
$$\left(\sum_{n=0}^\infty\frac{1}{(n+x)^2}\right)^2 \geq 2\,\sum_{n=0}^\infty\frac{1}{(n+x)^3}.$$
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