Question

Question #96496

Answer 1

There are no asymptotes. Please see below.

Explanation:

I'm not sure what a "possible" asymptote is.

At first read, it looks like `x=2` might be an asymptote.

Further investigation, however, shows that

`lim_(xrarr2)(x^2-x-2)/(x-2) = lim_(xrarr2)(x+1) = 3 != +-oo` so there is no asymptote at `2`

Now that it is clear that `(x^2-x-2)/(x-2) = x+1` for `x != 2`, we see that the graph is a line with a hole at `(2,3)`, so there are no asymptotes.