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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

indentical to `sgn(sgn({x})/(sqrt({x})))-1`

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A, B, C, D
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