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Homework Help: Evaluate the intermediate difference with L'Hospital's rule

  1. Nov 8, 2012 #1
    1. The problem statement, all variables and given/known data

    limit (x-sqrt(x^2 -1)) x-> inf

    2. Relevant equations

    3. The attempt at a solution

    What I had in mind was to somehow get rid of the radical so I can factor out an x then use L'Hospital's rule with the resulting intermediate product. I'm not sure how to approach the problem however.
  2. jcsd
  3. Nov 8, 2012 #2
    L'hopital, not L'hospital. LOL.
  4. Nov 8, 2012 #3

    My book spells it as L'hospital, and so does Wolfram Alpha.

    Wikipedia says, "In calculus, l'Hôpital's rule pronounced: [lopiˈtal] (also sometimes spelled l'Hospital's rule with silent "s" and identical pronunciation)"
  5. Nov 8, 2012 #4
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