Solve this following

Question:

Let $f(\mathrm{x})$ be a polynomial of degree four having extreme values at $\mathrm{x}=1$ and $\mathrm{x}=2$.

If $\lim _{x \rightarrow 0}\left[1+\frac{\mathrm{f}(\mathrm{x})}{\mathrm{x}^{2}}\right]=3$, then $f(2)$ is equal to :

  1. 0

  2. 4

  3. $-8$

  4. $-4$


Correct Option: 1

Solution:

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