Results 1 to 5 of 5

Math Help - limit equation (migue solution)

  1. #1
    Newbie
    Joined
    Nov 2012
    From
    Canada
    Posts
    3

    limit equation (migue solution)

    Question about limit.
    Show that the equation cosx=2x has a migue solution x∈r.

    if you know anything this question I want to hear your idea.
    I can't understood migue solution.Have you any idea about this solution I'm waiting.
    Thank you.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,792
    Thanks
    1687
    Awards
    1

    Re: limit equation (migue solution)

    Quote Originally Posted by harunulubey View Post
    Question about limit. Show that the equation cosx=2x has a migue solution x∈r.

    What is a migue solution ?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Mar 2010
    Posts
    993
    Thanks
    244

    Re: limit equation (migue solution)

    I think he means a unique solution.

    The derivative of f(x)=2x-\cos{x} is 2+\sin{x}, which is always positive, so the function is increasing. Also, f(x)<0 for large negative values of x and f(x)>0 for large positive values of x. So there is exactly one x\in\mathbb{R} where it is zero, and that is a unique solution to 2x=\cos{x}.

    - Hollywood
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Nov 2012
    From
    Canada
    Posts
    3

    Re: limit equation (migue solution)

    thank you Hollywood I guess unique not migue thanks for your help...
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Nov 2012
    From
    Canada
    Posts
    3

    Re: limit equation (migue solution)

    And thank you Plato for your interest
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 4
    Last Post: March 14th 2012, 07:21 AM
  2. Replies: 7
    Last Post: August 12th 2011, 07:05 AM
  3. Limit of unspecified solution
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: September 18th 2010, 05:06 PM
  4. Replies: 2
    Last Post: May 18th 2009, 12:51 PM
  5. Solution of equation
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: June 19th 2006, 07:52 AM

Search Tags


/mathhelpforum @mathhelpforum