A removable discontinuity has an existing finite limit that differs from the assigned point value, or a missing point value. Changing the point value removes it. Integrals and Fourier coefficients do not detect changes on a set of measure zero, so purely integral hypotheses cannot prohibit this kind of discontinuity for an arbitrary representative.

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  1. Discontinuity of a function
  2. Continuous function
  3. Limit of a function
  4. Calculus
  5. Real analysis
  6. Analysis
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