JEE-Mains 2015 (13/30)

Calculus Level 3

$\text{ Given : } \displaystyle \lim_{x \to 0} \left[ 1+\dfrac{f(x)}{x^2} \right]=3$
If $f(x)$ be a polynomial of degree four having extreme values at $x=1$ and $x=2$ , then $f(2)$ is equal to :

-4 4 -8 0