Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to solve this asymptotic equality?

  1. Jun 5, 2015 #1
    How do I solve for x in the relationship below:

    nx ~ n ln(n), as n -> infinity

    The answer that I'm getting is x=1, but that must be wrong since 1 ~ ln(n) as n-> infinity is wrong.
  2. jcsd
  3. Jun 5, 2015 #2


    User Avatar
    Homework Helper

    There is no solution: [tex]\frac{\ln n}{n^k} \to \begin{cases} 0 & k > 0 \\ \infty & k \leq 0 \end{cases}[/tex]
  4. Jun 5, 2015 #3
    oh boy
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: How to solve this asymptotic equality?