How does the vertical asymptotes affect limits at infinity?
Vertical asymptotes and limits at infinity do not affect each other.
Being a bit careless (but clearer to many than being too careful):
,A vertical asymptote occurs at
When we ask about the limit at infinity, we are asking if there is a finite values
The roles of
Be careful to distinguish the phrases "infinite limit" (
as opposed to "limit at infinity (
Here are 2 links. (I haven't yet learned to embed them nicely.)