# Math Help - [SOLVED] counterexample needed

1. ## [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?

2. 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 $(0,1)$