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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}

AsymptotesOneOverX_1000.gif