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If a, b be two fixed positive integers s...

If a, b be two fixed positive integers 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`

Text Solution

Verified by Experts

The correct Answer is:
B
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