Well you're actually contemplating a derivative via definition of derivative.
Next step: multiply top & bottom by
If f(x) = sqrt(x+1) evaluate the following expression:
lim (f(x+h)-f(x))/ h
h->0
so my equation looks something like:
(sqrt(x+h+1)-sqrt(x+1))/h
how do i simplify the square roots? I'm thinking the h's would cancel out somehow in order for this limit not to be undefined but i don't know how that would happen.