I'm having trouble with this convergence problem, I'm not sure which test to use and how to solve

[thrownaway]

The problem is simply, determine whether the series converges or diverges. Thanks!

 

[pka]

Hint: \(\large\dfrac{1}{\log(n)+\sqrt{n}}>\dfrac{1}{2\sqrt{n}}\) for \(n\ge 2\)