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Math Help - example of a continuous function that is not bounded?

  1. #1
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    example of a continuous function that is not bounded?

    If we let a and b be real numbers with a < b, what would be an example of a continuous f on [a,b) which is not bounded, and what would be an example of a continuous f on [a, \infty) which is not bounded?

    for the first one would 1/x-1 work? and for the second part would f(x)=x work?
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  2. #2
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    The second is correct, for the first one, generally \frac{1}{b-x} works (I assume that's what you meant..)
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  3. #3
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    Quote Originally Posted by Defunkt View Post
    The second is correct, for the first one, generally \frac{1}{b-x} works (I assume that's what you meant..)
    Yes, when I was working on the problems I figured it would be easier to see it by actually knowing what a and b were. I guess I didn't change it. Thank you
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  4. #4
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    error , please cut this message
    Last edited by veljko; April 11th 2010 at 04:02 AM. Reason: error
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