Question

\( f(x) \) is a 5 degree polynomial that has extremes at \( x = \pm 1 \) and \( \lim_{x \to 0} \frac{f(x)}{x^3} = 5 \), then \( f(2) - f(-2) \) is:

Hint:

If \( \lim_{x \to 0} \frac{f(x)}{x^n} = L \), it means \( f(0)=f'(0)=\dots=f^{(n-1)}(0)=0 \) and \( f^{(n)}(0) = L \cdot n! \).

Answer 1

Correct Answer: 112