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)

Comments: ( Back to comment list | You must be logged in to post comments.)

Puzzle Answer

Comment 12 of 12 |

f(x) = { x^2 if x is rational

{ 0 if x is irrational

This is continuous at x=0

Edited on November 25, 2023, 6:52 am

Posted by K Sengupta on 2023-11-25 06:51:25

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info