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!

Solve this limit when x tends to +infinity

  1. Nov 21, 2006 #1
    any hints to solve this limit when x tends to +infinity is way very appreciated !!!!
    PS: i should not use the hopital rule...
    I tried to factorize the x from the nominator and denominator but couldnt get to any result... i tried some other things.. but still nothing.

    [tex]\frac{x^{\frac{2}{3}} - 3^{x}}{x^{\frac{5}{2}} + 2^{x}}[/tex]

    thanks very much
  2. jcsd
  3. Nov 21, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    Rewrite this as:
  4. Nov 23, 2006 #3
    okay the limit of (3/2)^x is +infinity
    but i have to show that the limit of [tex]\frac{x^{2/3}}{3^x}[/tex] is zero... how ?? maybe I have to show that it is smaller than a number, then the limit of that number should be zero... by the way, we havent studied exponentials yet..

    PS: I think this should be moved to calculus and beyond ?
    Last edited: Nov 23, 2006
  5. Nov 23, 2006 #4


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    the limit of [tex]\frac{x^{2/3}}{3^x}[/tex] goes to zero.

    EDIT: Latex is so texy :rofl:
    Last edited: Nov 23, 2006
  6. Nov 23, 2006 #5
    yes.. but it is an indeterminate form... how is it equal to zero
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?