# Asymptote

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Definition
 Asymptote A line l is said to be an asymptote of an infinite branch of a curve $y=f(x)\,$ 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 $x=0\,$ and $y=0\,$ are two asymptotes of the curve $y=\frac{1}{x}$