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?\\
(1) $f$ is an odd function\\
(2) $f ( 1 ) - 4 f ( - 1 ) = 4$\\
(3) $x = 1$ is a point of local minimum and $x = - 1$ is a point of local maximum\\
(4) $x = 1$ is a point of local maxima of $f$