# Horizontal Asymptote (Defined as a Limit)

- Author:
- Tim Brzezinski

- Topic:
- Limits

The following applet illustrates why graphs of certain functions have a HORIZONTAL ASYMPTOTE.

Question:
This graph does not cross either of its horizontal asymptotes. Yet there are some functions that can (and do) cross its horizontal asymptote. Can you author a function whose graph has a horizontal asymptote that gets crossed by the graph of the function itself at a certain point?