Multivariable Calculus
A jump discontinuity occurs when the left-hand limit and the right-hand limit of a function at a certain point exist but are not equal to each other. This type of discontinuity creates a 'jump' in the graph of the function, indicating that the function has different values approaching from either side of the point. Such behavior indicates that the function is not continuous at that specific point, which is crucial for understanding the overall continuity of a function.
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