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Homework Help: Limit questions

  1. Jan 20, 2008 #1
    1. The problem statement, all variables and given/known data

    find the value of k such that the limit exists. lim xgoes to infinity (x^3-6)/(x^k+3).

    2. Relevant equations

    3. The attempt at a solution

    I multiply both sides by 1/x^3 I get 1 in the numerator and x^k/x^3 in the denominator. I don't know what to next.
  2. jcsd
  3. Jan 20, 2008 #2


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    Science Advisor
    Homework Helper

    x^k/x^3 is x^(k-3). Consider the cases of k>3, k<3 and k=3.
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