Let be a polynomial of degree in

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let

f(x)

be a polynomial of degree

6

x

, in which the coefficient of

x^6

is unity and it has extrema at

x=-1

and

x=1

. If

\lim_{x \rightarrow 0} \frac{f(x)}{x^3}=1

, then

5f(2)

is equal to