Intro to Complex Analysis
A jump discontinuity occurs in a function when there is a sudden 'jump' in the value of the function at a certain point, meaning that the left-hand limit and right-hand limit at that point are not equal. This type of discontinuity indicates that the function cannot be continuous at that point, as there is an abrupt change in values. Understanding jump discontinuities is crucial when analyzing limits and the continuity of functions, as they demonstrate how functions can behave inconsistently at certain points.
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