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Let [x] denote the greatest integer less...

Let [x] denote the greatest integer less that or equal to x. If `f(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)

A

continuous at x = 0

B

continuous in (-1, 0)

C

differentiable at x = 1

D

differentiable in (-1, 1)

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The correct Answer is:
A, B, C
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