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 :

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