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Let [x] be the greatest integer function...

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

Not continuous at any point

B

Continuous at 3/2

C

Discontinuous at 2

D

Differentiable at 4/3

Text Solution

Verified by Experts

The correct Answer is:
C
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