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Math Help - Limits Of An abs function

  1. #1
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    Limits Of An abs function

    I was told to use algrebaic manpulation to find the limit for


    lim --> 4

    \frac{2|{x-4}|}{x-4}
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  2. #2
    MHF Contributor matheagle's Avatar
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    you get 2 if you approach from the right and you get -2 if you appoach from the left.
    Hence there is no limit.

    {|u|\over u}=1 if u>0 and {|u|\over u}=-1 if u<0.

    Hence there is no limit.
    Hence there is no limit.
    Hence there is no limit.
    Last edited by matheagle; May 2nd 2009 at 11:03 PM.
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  3. #3
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    So the limit does not exist because the limit from the right is not the same as the limit from the left
    Last edited by sk8erboyla2004; May 4th 2009 at 07:19 AM.
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