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    Asymptote

    Illustration

    Illustration

    Basic definition

    An asymptote is a line or curve that approaches a given curve arbitrarily closely.

    Detailed definition

    An asymptote is a line or curve that approaches a given curve arbitrarily closely, as illustrated in the above diagram. The plot above shows 1/x, which has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.

    Related terms

    asymptosy | asymptotic | asymptotic curve | limit

    Educational grade level

    high school level (AP calculus AB, California Algebra II standard)

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