How to tell if a function is removable or nonremovable?

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Mathematics

Maxwell Crane

5 August, 16:45

How to tell if a function is removable or nonremovable?

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Avery Garrison · Answer 1

The graph of a removable discontinuity leaves you feeling empty, whereas a graph of a nonremovable discontinuity leaves you feeling jumpy. If a term doesn't cancel, the discontinuity at this x value corresponding to this term for which the denominator is zero is nonremovable, and the graph has a vertical asymptote.