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).

(In reply to Another thought by Larry)

I like your answer, Larry.  You do remember correctly.

What do you mean by "actually continuous very close to x=0", though?  The unit impulse function is zero everywhere except at x=0.  The reciprocal would be undefined everywhere except at x=0.  No matter how close.

I believe you have the solution.

Posted by MindRod on 2005-12-15 23:28:16