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

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

A

1 when n is odd

B

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

C

`- (n)/(n+1)` when n is odd

D

`-1` when n is even

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The correct Answer is:

A, B

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