Question

i need to find the difference quotient of the function (sqrt(x-3)/x)! any suggestions???

Answer 1

is that a factorial?

Answer 2

Yes, it is. Here is how to solve it:
You see, what you have is f(x).
The difference quotient is:
lim as h->0 of f(x+h)-f(x)/h
So we have: lim as h->0 of ((sqrt(x+h-3))/x)!-(sqrt(x-3)/x)!)/h.
Take it from here and keep breaking it down. You will get it.
Sean

http://www.tutorsean.net