confusing limit problem

[collinito]

1. The problem statement, all variables and given/known data
lim[x→-2¯(from the left)] x+2/sqrt(x^2-4)


2. Relevant equations



3. The attempt at a solution
When I attempted this question I felt that the solution was that this is undefined and when i put it into my ti-89 it said that too. My friend argues that it's actually zero as that's what the leftbound limit approaches graphically. I am curious now to know the answer to this one

[berkeman]

1. The problem statement, all variables and given/known data
lim[x→-2¯(from the left)] x+2/sqrt(x^2-4)


2. Relevant equations



3. The attempt at a solution
When I attempted this question I felt that the solution was that this is undefined and when i put it into my ti-89 it said that too. My friend argues that it's actually zero as that's what the leftbound limit approaches graphically. I am curious now to know the answer to this one

Welcome to the PF. Can you use this:

http://en.wikipedia.org/wiki/L%27hospital%27s_rule

.

[collinito]

l'hopitals doesn't work, I already tried it, you still get a zero on the bottom.

[Mark44]

l'hopitals doesn't work, I already tried it, you still get a zero on the bottom.

Maybe you do, but I don't. Can you show us your work using L'Hopital's rule?

[Count Iblis]

x^2-4 = (x-2)(x+2)