I'm having problems with this question

Estimate $\displaystyle \sum_{n=1}^{\infty}n^{-\frac{3}{2}}$ to within .01

I know I can use the integral test with my remainder estimate being .01 but it would take such a large number to find the answer.

$\displaystyle -\frac{2}{\sqrt{x}} < .01$

I would have to sum up 40,000 terms to get it to that accuracy

Is there another way to do this? Thanks in advance