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Homework Statement
[tex]
\lim_{x\to +\infty} \frac{x}{\sqrt{x^2+1}}
[/tex]
Homework Equations
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?