I just posted a similar problem, however this one states:

define f : (0,1) -> R by f(x)= ((9-x)^(1/2)-3)/x. Prove that f has a limit at 0 and find it.

This one also states to not use $\displaystyle \epsilon$ and $\displaystyle \delta$. However, since it says prove it and then find it, how do i do that without an $\displaystyle \epsilon$,$\displaystyle \delta$ proof?