If \( f(x)=\left\{\begin{array}{cc}x e^{-\left(\frac{1}{|x|}+\frac{1}{x}\right)}, & x \neq 0...

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If \( f(x)=\left\{\begin{array}{cc}x e^{-\left(\frac{1}{|x|}+\frac{1}{x}\right)}, & x \neq 0 \\ 0 & , x=0\end{array}\right. \) then \( f(x) \) is
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