perplexus.info :: Calculus : Only briefly continuous

Only briefly continuous (Posted on 2005-12-15)

Name a function with a domain of all real numbers that is continuous only at a single point.

Definition: A function is continuous at point B if and only if the limit of f(x) as x approaches B is equal to f(B).

See The Solution Submitted by Tristan

Rating: 3.5000 (2 votes)

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Another solution

| Comment 2 of 12 |

If g(x)=1 when x is real, and 0 when x is rational, then x.g(x) solves this problem.

Posted by Federico Kereki on 2005-12-15 09:44:28

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