# [SOLVED] counterexample needed

• Oct 22nd 2009, 09:46 PM
dannyboycurtis
[SOLVED] counterexample needed
I have to prove or disprove the following:
f is continuous on (a,b) implies that f is bounded on (a,b).

Im pretty sure this is false, but cant come up with a viable counterexample to disprove it. Any help?
• Oct 22nd 2009, 09:57 PM
redsoxfan325
Quote:

Originally Posted by dannyboycurtis
I have to prove or disprove the following:
f is continuous on (a,b) implies that f is bounded on (a,b).

Im pretty sure this is false, but cant come up with a viable counterexample to disprove it. Any help?

$f(x)=\frac{1}{x}$ on $(0,1)$