# Math Help - Summation of a Series

1. ## Summation of a Series

\sum{(n^.5)\over((n^2) + 1)}

Limits n = 1 to infinity

I am new to this forum so I don't know if I have written this correctly.

2. It converges since ${n^{1/2}\over n^2 + 1} \le {n^{1/2}\over n^2} = {1 \over n^{3/2}}$. I don't know its sum though.

3. Thanks for that. Just to confirm did you use the comparison test.

It is great to have such a good site to go to where you haven't got anywhere else to go.

Thank you for the quick reply.