
Limit/Derivative Problem
I'm having trouble getting started with a calculus problem, can anyone help me?
The limit $\displaystyle \lim_{x \to 4} \frac{\sqrt{x}2}{x4}$ represents the derivative of a function taken at a point. What function? What point? What is the limit?
I need help getting started with this problem...

Well as $\displaystyle x\to 4$ the point is $\displaystyle x=4$
I get $\displaystyle \displaystyle \lim_{x \to 4} \frac{\sqrt{x}2}{x4}= \frac{1}{4}$
What methods for taking limits have you been taught?

Sorry, I didn't really explain this problem well. I knew the answer to the acutal limit, and the point, but I'm having trouble figuring out what function this represents the derivative taken at a point of.
If this limit represents the numerical derivative of 1/4 taken at x=4, what would the original function that I'm taking the derivative of be?
Thanks?

$\displaystyle \displaystyle f'(a) = \lim_{x \to a} \frac{f(x)  f(a)}{xa}$

Makes perfect sense now! Thanks so much!