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Let f(x) be a real valued function not i...

Let f(x) be a real valued function not identically zero, which satisfied the following conditions
I. `f(x + y^(2n + 1)) = f(x) + (f(y))^(2n+1), n in N, x, y` are any real numbers.
II. `f'(0) ge 0`
The value of f(x), is

A

`2x `

B

`x^(2) + x + 1`

C

`x`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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