If \( f(x)=\left\{\begin{array}{cl}\sqrt{x}\left(1+\sin \frac{1}{x}...

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If \( f(x)=\left\{\begin{array}{cl}\sqrt{x}\left(1+\sin \frac{1}{x}\right), & x0 \\ -\sqrt{-x}\left(1+\sin \frac{1}{x}\right), & x0, \\ 0, & x=0\end{array}\right. \), then \( f(x) \)
P
W
(1) continuous as well diff. at \( x=0 \)
(2) continuous at \( x=0 \), but not diff. at \( =0 \)
(3) neither continuous at \( x=0 \) nor diff. at \( x=0 \)
(4) none of these
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