How can I calculate the following limitwithoutusing l'Hôpital's rule?

$\displaystyle \lim_{x\to 2}\frac {\sqrt{x+2}-\sqrt{3x-2}}{\sqrt{4x+1}-\sqrt{5x-1}}$

Printable View

- Jul 10th 2012, 07:04 AMloui1410Calculating a "0/0" limit
How can I calculate the following limit

**without**using l'Hôpital's rule?

$\displaystyle \lim_{x\to 2}\frac {\sqrt{x+2}-\sqrt{3x-2}}{\sqrt{4x+1}-\sqrt{5x-1}}$ - Jul 10th 2012, 08:39 AMPlatoRe: Calculating a "0/0" limit
- Jul 10th 2012, 08:49 AMloui1410Re: Calculating a "0/0" limit
I got to that and didn't know how to continue.. Only now did I notice that we can simply reduce the fraction :) Thanks.

- Jul 10th 2012, 08:59 AMPlatoRe: Calculating a "0/0" limit