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asymptote    音标拼音: ['æsəmt,ot] ['æsɪmpt,ot]
n. 渐近线

渐近线

asymptote
渐近线

asymptote
n 1: a straight line that is the limiting value of a curve; can
be considered as tangent at infinity; "the asymptote of the
curve"

Asymptote \As"ymp*tote\ (?; 215), n. [Gr. ? not falling
together; 'a priv. ? to fall together; ? with ? to fall.
Cf. {Symptom}.] (Math.)
A line which approaches nearer to some curve than assignable
distance, but, though infinitely extended, would never meet
it. Asymptotes may be straight lines or curves. A rectilinear
asymptote may be conceived as a tangent to the curve at an
infinite distance.
[1913 Webster]


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  • Asymptote of a curve in polar coordinates • Physics Forums
    The curve C has polar equation r θ = 1 for 0 <θ <2 π Use the fact that lim θ → 0 s i n θ θ = 1 to show the line y = 1 is an asymptote to C The Attempt at a Solution **Attempt** I understood the concept behind how this asymptote is calculated, but I am not very fluent in mathematics to convert the above information into a comprehensive
  • Why is y=a a horizontal asymptote on the polar coordinates?
    The discussion centers on understanding why the line y=a serves as a horizontal asymptote for the hyperbolic spiral defined by rt=a in polar coordinates The user initially grapples with discrepancies between their plotted curve and one generated by Maple, particularly as t approaches 0
  • Describing behavior on each side of a vertical asymptote
    Find the vertical asymptotes of the graph of F (x) = (3 - x) (x^2 - 16) ok if i factor the denominator i find the vertical asymptotes to be x = 4, x = -4 The 2nd part of the problem asks: Describe the behavior of f (x) to the left and right of each vertical asymptote I'm not sure what i need to write for this





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