Limit to a function

Question

So I'm having trouble with the following limit:

$$\lim_{x\to2}{\frac{x^2-x-2}{\sqrt{x^2+5}-3}}$$

Common factor doesn't work. Any hints on how to tackle it?

Do you know how to differentiate the denominator? If so, you can apply L'hopital's Rule.

Amzoti · Accepted Answer · 2012-09-20 04:55:02Z

up vote 8 down vote accepted

Hint:

Make sense?

~A

edited Sep 20 '12 at 4:55

answered Sep 20 '12 at 4:41

Amzoti
57015

	Thanks! I did an identical exercise this morning, I can't believe how I missed the conjugate!. – Julian Bayardo Spadafora Sep 20 '12 at 4:54
	Excellent! I would also suggest trying it using the definition of limits and see if you can work through it. – Amzoti Sep 20 '12 at 4:55

Noah Klein · Answer 2 · 2012-09-20 04:48:17Z

up vote 0 down vote

Hint: Try using L'Hopital's rule

answered Sep 20 '12 at 4:48

Noah Klein
807

	I don't know it yet – Julian Bayardo Spadafora Sep 20 '12 at 4:50
	Ahh then Amzoti's answer is the way to go :) – Noah Klein Sep 20 '12 at 4:56

2 Answers