Practicing Success
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 |
$a^2 f(a)-2 a f'(a)$ $2 a f(a)+a^2 f'$ $2 a f(a)-a^2 f'(a)$ none of these |
$2 a f(a)-a^2 f'(a)$ |
$\lim\limits_{x \rightarrow a} \frac{x^2 f(a)-a^2 f(x)}{x-a}$ $=\lim\limits_{x \rightarrow a}2xf(a)-a^2f'(x)$ Using L' Hopitals Rule $=2 a f(a)-a^2 f'(a)$ |