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Homework Help: Just one more limit problem.

  1. Sep 26, 2007 #1
    [SOLVED] Just one more limit problem.

    1. The problem statement, all variables and given/known data
    Find the limit

    2. Relevant equations
    [itex]\lim_{x \rightarrow 0} (x^2 - \frac{1}{x})[/itex]

    3. The attempt at a solution
    I got does not exist for this limit. This is since, when you break it down to two parts, the 1/x is undefined at 0.
  2. jcsd
  3. Sep 26, 2007 #2


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    Science Advisor

    That's correct.
  4. Sep 26, 2007 #3
    allright, thank you
  5. Sep 26, 2007 #4
    The fact that a function is undefined at a point does not imply the limit does not exist at that point.
  6. Sep 26, 2007 #5
    It is infinite on both sides of the point, it doesn't exist.
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