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

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Let \( f(x) \) be a polynomial of degree 5 such that \( x=\pm 1 \) are its critical points. If \( \lim _{x \rightarrow 0}\left(2+\frac{f(x)}{x^{3}}\right)=4 \), then which one of the following is not true?
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