# Thread: Check whether the following series is absolutely or conditionally convergent

1. ## Check whether the following series is absolutely or conditionally convergent

∑((n*sin(n))/(2+n^4+n))

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2. Originally Posted by sthato
∑((n*sin(n))/(2+n^4+n))

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$\frac{n\sin(n)}{2+n^4+n}<\frac{n}{2+n^4+n}$

3. Hello,

Since the sign is not always the same, due to sin(n), take the absolute value