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Only briefly continuous (Posted on 2005-12-15) Difficulty: 2 of 5
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 thought | Comment 6 of 11 |
What about f(x) = 1 / {The Dirac Delta function} ??
The delta function is essentially zero everywhere except at x=0 where it is infinity, such that the area under the curve is = to 1 (if I remember correctly).  But I believe it's actually continuous very close to x=0.

  Posted by Larry on 2005-12-15 20:46:51
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