# Does a horizontal line have horizontal asymptotes?

1. Oct 21, 2012

### Esoremada

For example, y = 7. Are there an infinite number of asymptotes at any y value that isn't 7? If so, how would I format this statement on my homework?

*edit* oops sorry, I meant to post this in homework help

2. Oct 21, 2012

### Vorde

I don't think so.

Asymptotes are usually defined as lines that a given function approaches infinitely close, but never reaches. Under this definition, a line has no asymptotes.

3. Oct 21, 2012

### pwsnafu

Except functions like $\frac{\sin x}{x}$ cross their asymptote an infinite number of times.

Formal definition from Wikipedia:
This is really iffy. You could argue either way.

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