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Limit doesn't make sense according to the graph?

  1. Nov 1, 2012 #1
    From first principles,

    [tex]\underset { x\rightarrow { 0 }^{ + } }{ lim } |x|=1\\ \underset { x\rightarrow { 0 }^{ - } }{ lim } |x|=-1[/tex]

    But if you look at the graph of |x|, it appears that both limits are approaching 0.

    O_O
     
  2. jcsd
  3. Nov 1, 2012 #2

    arildno

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    Incorrect. Why do you think so???
     
  4. Nov 1, 2012 #3
    Are the limits incorrect? My textbook has the proof.

    I'll post it as soon as possible.
     
  5. Nov 1, 2012 #4

    arildno

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    Are you sure you are notr talking about the DERIVATIVE of the absolute value function??
     
  6. Nov 1, 2012 #5
    Makes so much sense! Thanks.
     
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