# Evaluating a limit

• July 25th 2011, 07:55 PM
Stroodle
Evaluating a limit
Hi,

I'm trying to evaluate the limit as x goes towards 7 of ((x+2)^(1/2)-3)/(x-7).
The answer is 1/6 according to my text.
Sorry, my latex skills are a bit rusty...

THanks.
• July 25th 2011, 07:57 PM
nehme007
Re: Evaluating a limit
L'Hopital's rule should work.
• July 25th 2011, 08:00 PM
Stroodle
Re: Evaluating a limit
Awesome, thanks. Looks like I'm learning that rule next lecture.
• July 25th 2011, 08:01 PM
chisigma
Re: Evaluating a limit
Quote:

Originally Posted by Stroodle
Hi,

I'm trying to evaluate the limit as x goes towards 7 of ((x+2)^(1/2)-3)/(x-7).
The answer is 1/6 according to my text.
Sorry, my latex skills are a bit rusty...

THanks.

If You multiply numerator and denominator by $\sqrt{x+2}+3$ , You will 'discover' that a confortable simplification is possible...

Kind regards

$\chi$ $\sigma$
• July 25th 2011, 08:03 PM
TheChaz
Re: Evaluating a limit
Quote:

Originally Posted by Stroodle
Hi,

$\lim_{x \to 7} \frac{\sqrt{x + 2} - 3}{x - 7}$