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Limits..what am I doing wrong ? (Without hopital)

  1. Sep 27, 2016 #1
    1. The problem statement, all variables and given/known data

    Limx--->positive infinity sqrt(3x^5-2x) - sqrt(3x^5-7x)
    2. Relevant equations


    3. The attempt at a solution
    The first thing I did was rationalize. I got (5x)/ [ sqrt(3x^5-2x) + sqrt(3x^5-7x)]. Then I divided the top and bottom by x^5 but this is where I feel like Im doing something wrong. But I dont know what. Am I even supposed to divide by x^5 ? Because the other problems Ive solved so far have been with an x^2.
     
  2. jcsd
  3. Sep 27, 2016 #2

    Mark44

    Staff: Mentor

    Factor x5 out of each radical, and bring each out of its radical as x5/2.
     
  4. Sep 27, 2016 #3

    fresh_42

    Staff: Mentor

    What happens, if you simply divide by / cancel x?
     
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