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Limit as x approaches negative infinity

  1. Mar 6, 2010 #1
    1. The problem statement, all variables and given/known data

    as x approaches negative infinity, what value does this function approach ?

    limit square root (X^2+X) + X

    2. Relevant equations

    3. The attempt at a solution
    First, i manipulated the given function to take out absolute (x) from the square root

    so, what i get is, limit absolute value (x) square root (1+1/x) +x

    now, i get infinity - infinity. (looks like an indeterminate form)

    I do not know where to go from this point.

  2. jcsd
  3. Mar 7, 2010 #2


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    Pull the x down into the denominator, then use L'Hopital's rule.
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