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The range of the function f(x)=(tan(pi[x...

The range of the function `f(x)=(tan(pi[x+1]))/(x^(4)+1)` (where, `[.]` is the greatest integer function) is

A

is discontinuous at some x

B

f'(x)exists for all x

C

f'(x) xists for all but f"(x) does not exist

D

is continuous for all x but f"(x) does not exist for some x

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