Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4. Then lim (xf(a) - af(x))/(x - a), x ∈ [x to a]

Question

Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4. Then 

\(\lim\limits_{x\to a}\frac{xf(a)-af(x)}{x-a}\) equals:

(1) 2a + 4

(2) 4 - 2a

(3) 2a - 4

(4) a + 4

Answer 1

Correct option is (2) 4 - 2a