Question

Show that if \(I\) is a bounded interval, and \(f: I \rightarrow R\) is uniformly continuous, then \(f\) is bounded.

Answer 1

I have an idea of proving it with contradiction, i.e., proving that \(f\) is unbounded under that circumstance would be false.

Answer 2

Still thinking...

Answer 3

Thanks for finding that for me lol. I think that's exactly what I need