# Limiting till the degree 5

Algebra Level 3

Let $f(x)$ be a polynomial of degree $5$ such that $x= \pm 1$ are its critical points.

If $\displaystyle \lim_{x \to 0}\left(2+\frac{f(x)}{{x}^{3}}\right)=4$, then which of the following is not true?

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