Results 1 to 4 of 4

Math Help - problems with Euler's number..

  1. #1
    Newbie
    Joined
    Jul 2011
    Posts
    14

    problems with Euler's number..

    1-e^(-x)=5e^(-2x)+3x^(-x)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    -1
    e^(i*pi)'s Avatar
    Joined
    Feb 2009
    From
    West Midlands, England
    Posts
    3,053
    Thanks
    1

    Re: problems with Euler's number..

    I don't think there is an analytical way to solve because of the x^{-x} term. Should that read e^{-x} per chance?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2011
    Posts
    14

    Re: problems with Euler's number..

    3x^(-x) is correct
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor Also sprach Zarathustra's Avatar
    Joined
    Dec 2009
    From
    Russia
    Posts
    1,506
    Thanks
    1

    Re: problems with Euler's number..

    If  f(x)=1-e^{-x}-5e^{-2x}-3x^{-x}

    Then, f(1)<0 and f(3)>0, so there is at least one root in [1,3].
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Basic algebra but dont know what a euler number is?
    Posted in the Advanced Algebra Forum
    Replies: 10
    Last Post: September 4th 2010, 04:36 AM
  2. Euler's Lucky number
    Posted in the Number Theory Forum
    Replies: 19
    Last Post: July 9th 2010, 10:41 AM
  3. [SOLVED] Number Theory:Euler phi function proofs
    Posted in the Number Theory Forum
    Replies: 8
    Last Post: February 20th 2009, 12:39 AM
  4. Euler's number
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: April 23rd 2008, 11:24 PM
  5. Hamiltonian/Euler Problems (Travelling Salesman Prob)
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: November 19th 2006, 09:18 PM

Search Tags


/mathhelpforum @mathhelpforum