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jump discontinuity

A break where the function's value suddenly steps from one level to another — the one- and two-sided limits disagree.

A jump discontinuity occurs at x=a when both one-sided limits exist but are unequal — the function approaches two different finite values from the left and right, so no single two-sided limit exists.

Examples

  • A flat shipping-rate function that charges $5 for orders under $50 and $0 at $50 and above jumps at $50.

See also

one-sided limit continuity
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