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infinite discontinuity

A break where the function shoots off toward positive or negative infinity instead of settling on a value.

An infinite discontinuity occurs at x=a when at least one one-sided limit is \infty or -\infty — the graph has a vertical asymptote there rather than a finite jump or a removable hole.

Examples

  • f(x) = 1/x^2 has an infinite discontinuity at x=0.

See also

removable discontinuity jump discontinuity infinite limit
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