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Let [x] denotes the greatest integer les...

Let [x] denotes the greatest integer less than or equal to x, If (x) = `[x sin pi x]`, then f(x) is :

A

continuous at x = 0

B

continuous in (-1, 0)

C

differentiable at x = 1

D

differentiable in (-1, 1)

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A, B, D
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