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Asymptote
01
a straight line that a curve approaches indefinitely but never intersects, characterizing the limiting behavior of the curve
asymptote
n
asymptotic
adj
asymptotic
adj
Example
Tangent lines to a curve at infinity can act as asymptotes, describing the curve's behavior.
Exponential functions may exhibit horizontal asymptotes, indicating stability in the long run.
A rational function may have vertical asymptotes where the function approaches infinity.
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.
