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Discontinuity Surfaces

Discontinuity Surfaces

cults3d

These models are examples of surfaces that have a nonremovable discontinuity at the origin. They are examples I use in one of my lessons for my Multivariable Calculus class. Infinity Surface has the equation z = y/(x^2 + y^2). At (0,0) you can find limits of 0, infinity, and negative infinity. Pinched Surface has the equation z = 2xy/(x^2 + y^2). At (0,0) you can find limits of 0, 1 and -1. Created with Mathematica.

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