asymptote
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British pronunciation
/ˈæsɪmptˌə‍ʊt/

Definition & Meaning of "asymptote"

Asymptote
01

a straight line that a curve approaches indefinitely but never intersects, characterizing the limiting behavior of the curve

Wiki
example
Example
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The hyperbola has asymptotes that represent the lines the curve approaches but never crosses.
A rational function may have vertical asymptotes where the function approaches infinity.
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