Mathematics

Mathematics

Problem

f(x)f(x) is a polynomial of degree 'n' (where n is odd) such that f(0)=0f(0) = 0, f(1)=12f(1) = \frac{1}{2}, f(2)=23f(2) = \frac{2}{3}, f(3)=34f(3) = \frac{3}{4}, …\dots, f(n)=nn+1f(n) = \frac{n}{n+1}, then find f(n+1)=?f(n+1) = ?

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