APFIVE Divergence of a Series with a Parameter
What are all values of $$p$$ for which the series $$\displaystyle \sum_{n=1}^{\infty} \frac{1}{n^{2p} + n}$$ diverges?
A
$$p < \dfrac{1}{2}$$ only
B
$$p > \dfrac{1}{2}$$ only
C
$$p \geq \dfrac{1}{2}$$
D
$$p \leq \dfrac{1}{2}$$
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