# How does the vertical asymptotes affect limits at infinity?

##### 1 Answer

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.)

Infinite Limits and Vertical Asymptotes: http://socratic.org/calculus/limits/infinite-limits-and-vertical-asymptotes

Limits at Infinity and Horizontal Asymptotes:

http://socratic.org/calculus/limits/limits-at-infinity-and-horizontal-asymptotes