Limiting till the degree 5

Algebra Level 3

Let f(x)f(x) be a polynomial of degree 55 such that x=±1x= \pm 1 are its critical points.

If limx0(2+f(x)x3)=4\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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