Explore a circular asymptote. One example has a curve that never touches the asymptote. The other curve crosses the asymptote infinitely many times and has the circle as its limit.
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Wolfram Demonstrations Project
Published: May 21, 2013
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Examples of Asymptotes in 2D and 3D
Boole Differential Equation with Continued Fractions
Infinite Limit at Infinity
Infinite Limit at a Finite Point
Finite Limit at Infinity
Finite Limit at a Finite Point
Series: Steps on a Number Line
Abby Brown and MathematiClub (Torrey Pines High School)
High School Mathematics
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