# Math Help - Evaluating a limit

1. ## 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.

2. ## Re: Evaluating a limit

L'Hopital's rule should work.

3. ## Re: Evaluating a limit

Awesome, thanks. Looks like I'm learning that rule next lecture.

4. ## Re: Evaluating a limit

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

$\chi$ $\sigma$

5. ## Re: Evaluating a limit

Originally Posted by Stroodle
Hi,

I'm trying to evaluate

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

The answer is 1/6 according to my text.
Sorry, my latex skills are a bit rusty...

THanks.
Multiply by the conjugate on top and bottom... L'Hospital's rule isn't necessary

(edit... right, what HE said!)