# Thread: Limits that L'Hopital's Rule doesnt work

1. ## Limits that L'Hopital's Rule doesnt work

$
\lim_{x \to \infty} \frac{\sqrt{x+5}}{\sqrt{x}+5}

$

$
\lim_{x \to \infty} \frac{2x}{x+7\sqrt{x}}
$

I can't find a way around it because L'hopital's rule doesnt work

2. Originally Posted by larryboi7
$
\lim_{x \to \infty} \frac{\sqrt{x+5}}{\sqrt{x}+5}

$

$
\lim_{x \to \infty} \frac{2x}{x+7\sqrt{x}}
$

I can't find a way around it because L'hopital's rule doesnt work
Why it does not work?

For the first devide top and bottom by $\sqrt{x}$.
For the second devide top and bottom by $x$.