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Asymptote
01
a straight line that a curve approaches indefinitely but never intersects, characterizing the limiting behavior of the curve
Example
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.
