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> **Possible Duplicate:**  
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> [Finding the limit of $\frac{Q(n)}{P(n)}$ where $Q,P$ are polynomials](https://math.stackexchange.com/questions/33970/finding-the-limit-of-fracqnpn-where-q-p-are-polynomials) 
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Does $\lim\_{x\rightarrow \infty} \frac{5x}{(1+x^2)} = 0$ or $\lim\_{x\rightarrow \infty} \frac{5x}{(1+x^2)} = 1$?

I am asking because I was wondering if $\infty^2$ at the denominator is "considered" bigger than $5\infty$. Or do we just take the above as $\frac{\infty}{\infty}$?