(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]

\lim_{x\to +\infty} \frac{x}{\sqrt{x^2+1}}

[/tex]

2. Relevant equations

3. The attempt at a solution

[tex]

\lim_{x\to +\infty} \frac{x}{\sqrt{x^2+1}} \stackrel{l'H}{=} \lim_{x\to +\infty} \frac{\sqrt{x^2+1}}{x} \stackrel{l'H}{=} \lim_{x\to +\infty} \frac{x}{\sqrt{x^2+1}}

[/tex]

I get [tex]\frac{+\infty}{+\infty}[/tex] and l'H rule doesn't seem to help. Is the above correct? If yes, what else could I try?

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# Homework Help: Limit where l'Hopital's rule doesn't help

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