Asymptote

From WikiEducator
< MathGloss‎ | A
Jump to: navigation, search


This glossary is far from complete. We are constantly adding math terms.
For instructions on adding new terms, please refer to Math Glossary Main Page




Icon define.gif
Definition
Asymptote

A line l is said to be an asymptote of an infinite branch of a curve [math]y=f(x)\,[/math] if, as the point P on this infinite branch approaches to infinity , the perpendicular distance between P and the line l approaches to zero.



Examples

  • The lines [math]x=0\,[/math] and [math]y=0\,[/math] are two asymptotes of the curve [math]y=\frac{1}{x}[/math]

http://mathworld.wolfram.com/images/eps-gif/AsymptotesOneOverX_1000.gif