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Let [x] be the greatest integer function `f(x)=(sin(1/4(pi[x]))/([x]))` is
(a)Not continuous at any point
(b)continuous at `x = (3)/(2)`
(c)discontinuous at x = 2
(d)differentiable at `x = (4)/(3)`

A

(a)Not continuous at any point

B

(b)continuous at `x = (3)/(2)`

C

(c)discontinuous at x = 2

D

(d)differentiable at `x = (4)/(3)`

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The correct Answer is:
B, C, D
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