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If f (x) = (sin 4pi [ pi ^(2) x ])/( 7 +...

If `f (x) = (sin 4pi [ pi ^(2) x ])/( 7 + [x ] ^(2)), [.]` denotes ghe greatest integer function, then f (x) is

A

continuous `Aax, ` but f '(x) does not exist.

B

discontinuous at some x.

C

f"(x) exist `Aax`

D

f"(x) exist but f"(x) does not exists for some values

Text Solution

Verified by Experts

The correct Answer is:
C
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