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For a real number y, let [y] denotes the...

For a real number y, let [y] denotes the greatest integer less than or equal to y. Then, the function `f(x) = (tan pi[(x -pi)])/(1+[x]^(2)) ` is

A

discontinuous at some x,

B

continuous at all x, but the derivative f'(x)does not exist for some x.

C

f'(x) exists for all x but second derivative f" (x) does not exist.

D

f'(x) exists for all x.

Text Solution

Verified by Experts

The correct Answer is:
D
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