If \(f(x)\) is a polynomial function satisfying \(\displaystyle \lim _{ x\to \infty }{ \dfrac { xf(x) }{ { x }^{ 5 }+1 } } =1\) and \(f(1)=1\), \( f(2)=2\), \(f(3)=3\) and \(f(4)=4\) then what is \(f(6)\)?

Try this one as well: A Calculus problem 2

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