Help me please with these 2 questions:
1.Does it converge or diverge? : $$ \sum_{n=2}^{\infty }2^{n}\left ( \frac{n}{n+1} \right )^{n^{2}} $$
2.Check out absolute and conditional convergence of: $x>0 $
$$ \sum_{n=1}^{\infty }\sin (n)\sin \frac{x}{n} $$
Thanks a lot!