Hi guys I've been doing some problems on series and I ran into this one,

$\displaystyle \sum _{n=1}^{\infty } \left( \int _{0}^{\frac{1}{n}}\!{\frac {

\sqrt {x}}{1+{x}^{2}}}{dx} \right)

$

which I have no idea how to go about doing.

Any help would be appreciated.

Thanks.