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Math Help - very important for me help

  1. #1
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    very important for me help

    If a function is continous uniformely at [1, infinity)
    does it mean that exist the limit f(x) in the wide sense? ( while x approaches infinity ).
    if you take sqrt(x) the limit is infinity and yet its uniform continous.
    but i can't find an example that contradicts the wide sense limit part? and I can't quite
    manage to prove it.

    I have a test tomorrow.
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  2. #2
    GAMMA Mathematics
    colby2152's Avatar
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    Quote Originally Posted by botnaim View Post
    If a function is continous uniformely at [1, infinity)
    does it mean that exist the limit f(x) in the wide sense? ( while x approaches infinity ).
    if you take sqrt(x) the limit is infinity and yet its uniform continous.
    but i can't find an example that contradicts the wide sense limit part? and I can't quite
    manage to prove it.

    I have a test tomorrow.
    If a function is continuous, it does not necessarily mean that a limit exists. Think about \sin(x)
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