If f(x) is a polynomial of degree n suc...

If `f(x)` is a polynomial of degree n such that `f(0)=0 , f(x)=1/2,....,f(n)=n/(n+1)`, ,then the value of `f (n+ 1)` is

1, when n is even

`n/(n+2)`, when n is odd

1, when n is odd

`n/(n+2),` when n is even

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C, D

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