The discussion revolves around evaluating the limit as x approaches -2 from the left for the expression (x + 2) / sqrt(x^2 - 4). Participants express confusion regarding the behavior of the limit and whether it is defined or approaches a specific value.
The discussion is ongoing, with participants sharing their attempts and questioning the validity of different approaches. There is no clear consensus, as differing opinions on the limit's value are presented.
Some participants mention the use of calculators and graphical methods, while others highlight the challenges posed by the expression's behavior near the limit point.
collinito said:Homework Statement
lim[x→-2¯(from the left)] x+2/sqrt(x^2-4)
Homework Equations
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
collinito said:l'hospital's doesn't work, I already tried it, you still get a zero on the bottom.