Let f(x) be a polynomial of degree four having extreme values at x=1 and x=2. If lim_x → 0[1+(f(x))/x^2]=3, then f(2) is equal to:

Let $\displaystyle f(x)$ be a polynomial of degree four having extreme values at $\displaystyle x=1$ and $\displaystyle x=2$. If $\displaystyle \lim _{x \rightarrow 0}\left[1+\frac{f(x)}{x^2}\right]=3$, then $\displaystyle f(2)$ is equal to :