Can A Function Be Continuous At Only One Point?

We find a function which is continuous at a single point, and discontinuous everywhere else. The first half of the video covers intuition for continuity, plus its formal definition.

00:00 Intuition
02:00 Refined intuition
04:08 Formal definition
06:39 Constructing an example
08:15 Proving continuity
10:22 Proving discontinuity
12:28 Further examples