Convergence or Divergence integral test $$\sum_{n=1}^\infty\frac1{(\sqrt n + n )\ln (\sqrt n+1)}$$ 
So im guessing you go $\frac{1}{f(x)}$ and $\frac{1}{g(x)}$
and see if $\frac{1}{f(x)}$ and $\frac{1}{g(x)}$ are both convergent by finding the antiderivative of both.
Is that the right way to do it? It doesn't seem to be the right way for as I go around in circles doing it this way.
Thanks for the help

You can deduce convergence or divergence by considering the behavior of the sum and for large $n$, which goes as $\frac{1}{n \log{n}}$ in this limit.  By the integral test, we may deduce that a partial $N$ sum behaves as $\log{\log{N}}$ for large $N$, so this sum diverges.
