Let \( [x] \) denotes the greatest integer less than or equal to \(...

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Let \( [x] \) denotes the greatest integer less than or equal to \( x \). If \( f(x)=[x \sin \pi x] \), then \( f(x) \) is
P
(1) Continuous at \( x=0 \)
W
(2) Continuous in \( (-1,0) \)
(3) Differentiable in \( (-1,1) \)
(4) All the above
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