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