The limit as x approaches 2 gets closer to f(2)-f(x) over x-2 equals?

Question

3) If f(x) = ln(x) , then lim f(2)-f(x) / x-2 =

x->2

А) -ln(2)

-1/2

C) 1/2

D) ln 2

Side note- the limit as x approaches 2 gets closer to f(2)-f(x) over x-2 equals?

Answer 1

This is based on the limit definition of the derivative, if you recall the derivative of ln(x) is 1/x so f'(2)=1/2 (C)