1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Quick Limit

  1. Sep 14, 2006 #1
    For what values of k would
    [tex]\mathop {\lim }\limits_{x \to \infty } \frac{{\Gamma \left( {kx + 1} \right)}}
    {{x^{kx} }} [/tex]
    Last edited: Sep 14, 2006
  2. jcsd
  3. Sep 14, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper

    Certainly for k < 0 it diverges, since gamma is ill-behaved there. For k > e it also diverges by Stirling's approximation. There's the easy part! I'll have to think about the remaining (0, e]. (It obviously converges for k = 0.)
    Last edited: Sep 14, 2006
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Quick Limit
  1. Quick limit question (Replies: 10)