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What is the difference between point discontinuity and a vertical asymptote?

April 26, 2017asymptote difference discontinuity point vertical

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What is the difference between point discontinuity and a vertical asymptote?

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Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you’ll almost certainly first encounter asymptotes in the context of rationals.