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).
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.
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Posted by Larry
on 2005-12-15 20:46:51 |
Another thought
