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Homework Help: Determining the infinite limit

  1. Sep 24, 2007 #1
    Can someone help me determine the infinite limit :

    lim
    x->0


    x-1
    x^4(x+2)

    Much appreciated
     
  2. jcsd
  3. Sep 25, 2007 #2

    HallsofIvy

    User Avatar
    Science Advisor

    Trying to line up numerator and denominator is a very bad idea on the internet: use parentheses: (x-1)/(x^4(x+2)) or, better, use "LaTex":
    [tex]\lim_{x\rightarrow 0}\frac{x-1}{x^4(x+2)}[/tex]

    However, now I have a problem with "determine the infinite limit". Why do you want help determining it? You just said it was "infinite"! The limit goes to infinity which is to say that the limit does not exist. You can separate it as (1/x^4)((x-1)/(x+2)). As x goes to 0, the right hand fraction goes to a finite limit, -1/2. Since (1/x^4) obviously goes to infinity, so does the entire fraction.
     
  4. Sep 25, 2007 #3
    True

    :P

    Thanks any ways
     
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