If f(x) is differentiable at x = a, then $\lim\limits_{x \rightarrow a} \frac{x^2 f(a)-a^2 f(x)}{x-a}$ is equal to
Answer & explanation
Correct answer: option 3
$\lim\limits_{x \rightarrow a} \frac{x^2 f(a)-a^2 f(x)}{x-a}$
$=\lim\limits_{x \rightarrow a}2xf(a)-a^2f'(x)$ Using L' Hopitals Rule
$=2 a f(a)-a^2 f'(a)$