# Can a continuous function have asymptotes?

##### 1 Answer

Apr 27, 2018

Yes. It may have horizontal asymptotes, but not vertical asymptotes.

#### Explanation:

A continuous function may not have vertical asymptotes.

Vertical asymptotes are nonremovable discontinuities. Their existence tells us that there is a value/some values of

However, a continuous function may have horizontal asymptotes.

Consider

So, horizontal asymptotes don't interfere with the function's continuity.