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# asymptote

If a plane curve $\gamma$ has a branch continuing infinitely far from the origin $O$, then $\gamma$ may have an asymptote: The direct line $l$ is an asymptote of $\gamma$, if

$\lim_{{d(P,\,O)\to\infty}}d(P,\,l)=0,$ |

where $d(P,\,O)$ means the distance of the point $P$ of the branch from the origin and $d(P,\,l)$ the distance of $P$ from the line $l$.

Related:

SincFunction, FamousCurvesInThePlane

Type of Math Object:

Definition

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