Thread: Evaluating a limit

Hi,

I don't know where to start with this problem.
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.

L'Hopital's rule should work.

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

Originally Posted by Stroodle

Hi,

I don't know where to start with this problem.
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 , You will 'discover' that a confortable simplification is possible...

Kind regards

Originally Posted by Stroodle

Hi,

I don't know where to start with this problem.
I'm trying to evaluate



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!)