Prove: If a function $f: (a,b) \to\mathbb{R}$ is uniformly continuous, then $f(a+)$ and $f(b-)$ are both finite.
I think that the best way for this to be proved is by contradiction...
Prove: If a function $f: (a,b) \to\mathbb{R}$ is uniformly continuous, then $f(a+)$ and $f(b-)$ are both finite.
I think that the best way for this to be proved is by contradiction...