Thomae's function: Difference between revisions

Revision as of 16:53, 29 October 2023

Revision as of 22:02, 24 November 2023

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|<math>f</math> is [[Continuous function|'''discontinuous''']] at allevery rational numbersnumber, so its points of discontinuity are [[Dense order|dense]] within the real numbers.

{{Collapse top|title=Proof of discontinuity at rational numbers|width=80%}}

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|<math>f</math> is '''continuous''' at allevery [[irrational number]]s, alsoso its points of continuity are [[Dense order|dense]] within the real numbers.

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