Why does this series divergent?

Can anyone explain me why does this serie diverge?!

$$\sum_{n=0}^\infty n^2 \sin\left(\dfrac n{n^4 + 1}\right)$$

Answer

sin(x) is like x when x tends to 0, so this is like the $\sum n^2 * 1 / (n^3)$ which is like $\sum 1/n$