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Solving a limit with L'H's rule

  1. Oct 3, 2013 #1
    1. The problem statement, all variables and given/known data

    OErDOT2.png

    2. Relevant equations



    3. The attempt at a solution

    YG1M1Fh.png

    Are you allowed to do that where you just apply L'H an infinite amount of times?
     
  2. jcsd
  3. Oct 3, 2013 #2

    Mark44

    Staff: Mentor

    After taking the derivative of the denominator, you should get et, not eα. I suspect that was a typo.

    Anyway, your limit is correct. The basic idea is that power functions, such as tα grow large, but exponential functions grow large faster.
     
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