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If F(x)=(sinpi[x])/({x}) then F(x) is (w...

If `F(x)=(sinpi[x])/({x})` then `F(x)` is (where {.} denotes fractional part function and [.] denotes greatest integer function and `sgn(x)` is a signum function)

A

periodic with fundamental period 1

B

even

C

range is singleton

D

identical to sgn `(sgn ({x})/(sqrt{x})) - 1` (where { * } denotes fractional part of function and [ * ] denotes greatest integer function and sgn (x) is a signum function)

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