# What is a jump discontinuity of a graph?

A point in the graph of a function where left and right limits exist but differ.

For example, consider:

graph{x+x/abs(x) [-10, 10, -5, 5]}

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A jump discontinuity of a graph occurs when there is a sudden, non-continuous change in the function's value at a specific point. This means that the graph has a gap or jump at that point, where the function's value on one side of the point is different from the value on the other side.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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