Asymptote
volume
British pronunciation/ˈæsɪmptˌə‍ʊt/
American pronunciation/ˈæsəmˌtoʊt/, /ˈæsɪmpˌtoʊt/

Definition & Bedeutung von "asymptote"

Asymptote
01

Asymptote

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

asymptote

n

asymptotic

adj

asymptotic

adj
example
Beispiel
Tangent lines to a curve at infinity can act as asymptotes, describing the curve's behavior.
A rational function may have vertical asymptotes where the function approaches infinity.
Exponential functions may exhibit horizontal asymptotes, indicating stability in the long run.
The hyperbola has asymptotes that represent the lines the curve approaches but never crosses.
A horizontal asymptote occurs when the values of a function approach a constant as the input goes to positive or negative infinity.
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