More Calculus help?

Question

I need to find the limit at x approaches 2 from the right of (x + 2)/(x - 2). My first thought was positive infinite, since the denominator will get very very small but stay positive, making the quotient grow without bound. Not sure of myself however.

Answer 1

you are right....the denominator will get very small but stay positive

Answer 2

To find limit from right, put x = 2 + h where h tends to zero.
So , lim 4 + h / h = infinity as h tends to 0.

Answer 3

The limit from the right is +∞, while the limit from the left is -∞.