Divergence of a Series with a Parameter

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For which values of $p$ does the series $\displaystyle \sum_{n=1}^{\infty} \frac{1}{n^{2p} + n}$ diverge?

$p > \dfrac{1}{2}$ only

$p \geq \dfrac{1}{2}$

$p < \dfrac{1}{2}$ only

$p \leq \dfrac{1}{2}$

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