# A calculus problem - 1

Calculus Level 4

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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