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Why lim(x-->0) cos(1/x) does not exist?

  1. Sep 8, 2008 #1
    Plz help!!!!!

    Hi every body

    I need some help with the limets

    explain to me why lim(x-->0) cos(1/x) dose not exist?

  2. jcsd
  3. Sep 8, 2008 #2


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    Re: Plz help!!!!!

    As x gets smaller and smaller, 1/x gets larger and larger. As 1/x gets larger and larger cos(1/x) just oscillates between +1 and -1. It doesn't approach any definite value.
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