Hi I'm having trouble solving the following limit:

$\displaystyle \lim_{t\to 0}\frac{t}{\sqrt(x + t) - \sqrt(x)}$

I've got as far as applying L'Hopital's rule to the top and bottom of the quotient, getting:

$\displaystyle

\frac{\frac{dt}{dt}}{\frac{1 + \frac{dt}{dt}}{2\sqrt(x + t)}-\frac{1}{2\sqrt(x)}}$

As far as I know, this is the correct step to take. I'm clueless as to what I should do from here.