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Math Help - [SOLVED] Urgent -f/g need not be uniformly continuous

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    [SOLVED] Urgent -f/g need not be uniformly continuous

    I need help proving if D is compact, then f/g must be uniformly continuous on D.
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    Quote Originally Posted by student1001 View Post
    I need help proving if D is compact, then f/g must be uniformly continuous on D.
    Unless there are other hypothsis the statement is false

    counter example:

    let

    D=[1,3] \mbox{ and } f(x)=x,g(x)=3-x

    Both f and g are uniformly cont on D \epsilon=1 will work for all delta but \frac{f(x)}{g(x)}

    I am thinking that g(x) \ne 0 on D as well.
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