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Math Help - Boundedness

  1. #1
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    Boundedness

    Do uniformly continous functions preserve boundedness? If f is uniformly continous on a bounded set, is f(A) necessarily bounded?
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  2. #2
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    hey, can we do this by contradiction method. anyone, please suggest or any hint at where to start.
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  3. #3
    MHF Contributor Drexel28's Avatar
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    Write out the definition. What are you having problems with. Here is a hint: consider why continuity and uniform continuity are different. Your answer lies in the minutia.
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  4. #4
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    got it. I've solved it. Thanks again
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