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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.


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