Let \( f: R \rightarrow R \) be defined as \[ f(x)=\left\{\begin{array}{cc} \frac{x^{3}}{(1-\cos...

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Let \( f: R \rightarrow R \) be defined as
\[
f(x)=\left\{\begin{array}{cc}
\frac{x^{3}}{(1-\cos 2 x)^{2}} \log _{e}\left(\frac{1+2 x e^{-2 x}}{\left(1-x e^{-x}\right)^{2}}\right), & x \neq 0 \\
\alpha & , x=0
\end{array}\right.
\]
If \( f \) is continuous at \( x=0 \), then \( \alpha \) is equal to
(a) 2
(b) 0
(c) 3
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