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Which of the following is/are periodic?...

Which of the following is/are periodic?

A

`f(x)={{:(1",", "if x is rational"),(0",", "if x is irrational"):}`

B

`f(x)={{:(x-[x]",", 2n le x lt 2n+1),(1/2",", 2n+1 le x lt 2n+2):}` where `[*]` denotes the greatest integer function

C

`f(x)=(-1)^([(2x)/pi])`, where `[*]` denotes the greatest integer function

D

`f(x)=ax-[ax+a]+tan((pix)/2)," where " [*]` denotes the greatest integer function

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The correct Answer is:
B, C, D
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