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