What is a removable Discontinuity?

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Wataru
Sep 20, 2014

f(x) has a removable discontinuity at x=a when lim_{x to a}f(x) EXISTS; however, lim_{x to a}f(a) ne f(a). A removable discontinuity looks like a single point hole in the graph, so it is "removable" by redefining f(a) equal to the limit value to fill in the hole.

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