Asymptote

Asymptote is a straight line that continually approaches a given curve but does not meet it at any finite distance.
A rational function has at most one horizontal asymptote or oblique (slant) asymptote, and possibly many vertical asymptotes.
The degree of the numerator and degree of the denominator determine whether or not there are any horizontal or oblique asymptotes.
Asymptote

horizontal asymptote and vertical asymptote

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