How to prove or disaprove uniform convergence of this series: $ \sum \frac{\sin(nx)}{\sqrt{n}+x} $

Question

How to prove or disaprove uniform convergence of this series: $$ \sum \frac{\sin(nx)}{\sqrt{n}+x} $$
on the following sets:
$ X = (0;\pi)$ and $ X = (\frac{\pi}{10};\frac{9\pi}{10})$