# What is the difference between a jump and a removable discontinuity?

Their limit definitions and appearance on a graph.

This is a jump discontinuity.

This is a removable discontinuity (sometimes called a hole).

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A jump is a type of discontinuity in a function where the function "jumps" from one value to another at a specific point. A removable discontinuity, on the other hand, is a type of discontinuity where the function has a hole or gap at a specific point, but it can be filled or "removed" by redefining the function at that point.

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