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Limits: A special case

  1. Sep 27, 2013 #1
    Consider the following
    lim f(f(x))
    x->-2

    When looking at the graph of a function, if the function approaches -2 from above on the right
    side, and approaches -2 from below on the left side, does the limit exist? I've been told it doesn't, but I don't understand why.
     
  2. jcsd
  3. Sep 27, 2013 #2

    arildno

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    You need to specify what your function is.
    If f(x)=x, for example, the limit certainly exists.
     
  4. Sep 27, 2013 #3
    Only the graph is given.

    I guess you could suppose this is a similar graph.
    http://curvebank.calstatela.edu/limit/grid3.gif

    Then lim f(x) (lets suppose)
    x->1

    Since the function approaches from above on the right side , and below on the left side, does the limit exist??
     
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