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If a,b, be two fixed positive intergers such that , `f (a+x)=b+ [b^(3) + 1 -3b^(2) f(x) + 3b {f(x)} ^(2) -{f (x)} ^(3)]^(1//3)`for all real x, then `f(x)` is a periodic function with period-

A

a

B

2a

C

b

D

2b

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