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).

These examples are pretty cool, but all use the same idea of a piecewise function based on the discontinuity of the rational numbers within the reals.

Is there another way to do it either non-piecewise or not using the rationals?

Posted by Jer on 2005-12-15 14:34:42