Hi guys!

I have the infinite series:

$\displaystyle \sum_{n=1}^\infty \frac{1}{\sqrt{n^2+3}}$

I know that I can use the integral test which involves using trig substitution. However, I know that there must be a p-series that I can compare it to. By looking at it, I know that it diverges. When I try to use $\displaystyle \sum_{n=1}^\infty \frac{1}{n}$ which is a divergent p-series, and use the limit comparison test or direct comparison test, it doesn't work. I also tried using $\displaystyle \sum_{n=1}^\infty \frac{1}{\sqrt{n}} $ but that does not work either. Does anyone have any ideas for a test series that I could compare my series to?

PS. I don't need it worked out, just an idea of a test series

Thanks in advance,

Liz.