Polynomial Degree Four Limit (Jee Mains)

Evaluation of Limits

Medium

Polynomial Degree Four Limit

Let ƒ : R → R be a polynomial function of degree four having extreme values at x = 4 and x = 5.
If $\mathop {\lim }\limits_{x \to 0} \frac{{f\left( x \right)}}{{{x^2}}} = 5$ , then ƒ(2) is equal to :

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