Correct Answer - A
Putting `x=1, f(2)+f(0)=2f(1) or f(2)=2f(1).`
Putting `x=2, f(3)+f(1)=2f(2)`
` or f(3)=2xx2f(1)-f(1)=3f(1)` and so on.
` :. f(n)=n f(1), " for " n=1,2, …, n`
`f(n+1)+f(n-1)=2f(n)`
` or f(n+1)+(n-1)f(1)=2nf(1)`
`or f(n+1)=(n+1)f(1)`