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$Period of f (x) = sgn ([x] + [- x]) is equal to (where [.] denotes greatest integer function)$

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Correct option is A

x+-x =0 if x∈Z =-1 if x∉ Z Now fx =Sgnx+-x =Sgn0 =0 if x∈Z = Sgn -1 =-1 if x ∉Z therefore fx period is 1

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Period of f(x)=sgn⁡([x]+[−x]) is equal to (where [.] denotes greatest integer function)

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$Period of f (x) = sgn ([x] + [- x]) is equal to (where [.] denotes greatest integer function)$