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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