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Math Help - [SOLVED] counterexample needed

  1. #1
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    [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?
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by dannyboycurtis View Post
    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)
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