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Asymptote


Asymptote

An asymptote is a line or curve that approaches a given curve arbitrarily closely, as illustrated in the above diagram.

AsymptotesOneOverX

The plot above shows 1/x, which has a vertical asymptote at x=0 and a horizontal asymptote at y=0.


See also

Asymptosy, Asymptotic, Asymptotic Curve, Limit Explore this topic in the MathWorld classroom

Explore with Wolfram|Alpha

References

Giblin, P. J. "What is an Asymptote?" Math. Gaz. 56, 274-284, 1972.

Referenced on Wolfram|Alpha

Asymptote

Cite this as:

Weisstein, Eric W. "Asymptote." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Asymptote.html

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