Hi i have following two series:

1.

$\displaystyle \sum_{ 1}^{\infty } \sin(\frac{1}{n})\cos(\frac{1}{n^{2}}})$

2.

$\displaystyle \sum_{ 1}^{\infty } \frac{1}{n^{3}}\sin(\frac{-1^{n}}{ \sqrt{n} })$

and i dont really know how to touch them.

I'd be really greatful for any kind of help,

Cheers.