Let \[[x]\]denotes the greatest integer less than or equal to x. If \[f(x)=[x\sin \pi x]\], then \[f(x)\]is [IIT 1986]

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

1.	Let \[[x]\]denotes the greatest integer less than or equal to x. If \[f(x)=[x\sin \pi x]\], then \[f(x)\]is [IIT 1986]
A.	Continuous at \[x=0\]
B.	Continuous in \[(-1,0)\]
C.	Differentiable in (?1,1)
D.	All the above
Answer» E.

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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 [IIT 1986]

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