Calculus IV
Jump discontinuity occurs when a function has two distinct limits from either side at a certain point, leading to a sudden 'jump' in its values. This type of discontinuity means that the left-hand limit and the right-hand limit do not match, which indicates that the function cannot be continuous at that point. Understanding this concept is crucial for analyzing limits and continuity in multiple variables, especially when dealing with piecewise functions or functions defined on intervals.
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