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If f(x) =[ sin ^(-1)(sin 2x )] (where, [...

If `f(x) =[ sin ^(-1)(sin 2x )]` (where, [] denotes the greatest integer function ), then

A

`int_(0)^(pi//2) f(x) dx=(pi)/(2) - sin ^(-1)(sin 1)`

B

`f(x)` is periodic with period `pi`

C

`underset(x rarr(pi+)/(2))(lim) f(x)=-1`

D

None of these

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A, B, C
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