# Limit involving greatest integer function

I can't work out this. The answer given is $1$, though I am getting infinity.

$$\lim_{x\rightarrow\infty}\frac{x^n+nx^{n-1}+1}{[x]}=?$$

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Is the question to find n when given that the limit approaches 1? Because the limit depends on what n is. – Just_a_fool Apr 4 '14 at 19:50