splitting zeta

\sum_{n=1}^{\infty}\left(\frac{1}{n^{2}+\sqrt{n}}\right)+\sum_{n=1}^{\infty}\left(\frac{1}{n^{2}+\sqrt{n^{7}}}\right)=\sum_{n=1}^{\infty}\frac{1}{n^{2}}=\pi^{2}/6

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