If \( f(x)=\left\{\begin{array}{cc}\frac{x\left(3 e^{1 / x}+4\right)}{2-e^{1 / x}} & , x \neq 0 ...

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If \( f(x)=\left\{\begin{array}{cc}\frac{x\left(3 e^{1 / x}+4\right)}{2-e^{1 / x}} & , x \neq 0 \\ 0 & , x=0\end{array}\right. \) then \( f(x) \) is
\( \mathrm{P} \)
(1) continuous as well differentiable at \( x=0 \)
W
(2) continuous but not differentiable at \( x=0 \)
(3) neither differentiable at \( x=0 \) not continuous at \( x=0 \)
(4) none of these
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