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What does asymptote mean?

Looking for the meaning or definition of the word asymptote? Here's what it means.

Noun
  1. (analysis) A straight line which a curve approaches arbitrarily closely, as they go to infinity. The limit of the curve, its tangent "at infinity".
  2. (by extension, figuratively) Anything which comes near to but never meets something else.
Verb
  1. (analysis) To approach, but never quite touch, a straight line, as something goes to infinity.
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