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Limit problem

  1. May 26, 2008 #1
    Hi I was wondering if someone could help me with this limit problem:

    Find the lim x->a-, lim x->a+ and lim x->a
    for the f(x)=(x^2-16)/(squareroot(x^2-8x+16)) a=4

    I've tried to simplify the problem but after that i dont know wut to do =(
    This is wut I've done:

    any help would be appreciated.
    Last edited: May 26, 2008
  2. jcsd
  3. May 26, 2008 #2
    = x+4,x>4
    this is a piece wise function, mow you can easily find the left,right limit
    Note:Limit of f(x) as x approaches 4 doesn't exist as left and right limit at x=4 are not equal

    The more intuitive way is to draw the graph of the piecewise function!
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