Results 1 to 5 of 5
Like Tree2Thanks
  • 1 Post By chiro
  • 1 Post By ibdutt

Math Help - Limit Problem

  1. #1
    Newbie
    Joined
    Nov 2013
    From
    Canada
    Posts
    3

    Limit Problem

    Hi, I have been having troubles with one limit problem in particular:

    Limx->inf cot(pi/4x)/x

    Applying L'Hopital's rule only seems to make things worse. If anybody could help and show me what I should do to solve this limit, I would very much appreciate it. Thanks guys!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,619
    Thanks
    592

    Re: Limit Problem

    Hey Maburo.

    What did you get when you applied L'Hopitals rule? The x in the denominator should disappear leaving the derivative of the cot term.
    Thanks from phys251
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2013
    From
    Canada
    Posts
    3

    Re: Limit Problem

    Applying L'Hopital's rule gives Limx->infinity (pi*csc^2(pi/4x))/(4x^2). This is again in an indeterminate form, and continuing to apply L'Hopital's rule will only further increase the degree of the 'x' variable in the denominator, plus make the limit quite ugly. I tried using a limit calculator which shows steps, but it tells me that the steps cannot be displayed.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Jul 2012
    From
    INDIA
    Posts
    828
    Thanks
    209

    Re: Limit Problem

    Limit Problem-18-nov-13.png
    Thanks from Maburo
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Nov 2013
    From
    Canada
    Posts
    3

    Re: Limit Problem

    Thank you very much! That seems like a useful method for solving limits, and I am sure that will come in handy. I really appreciate it!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Limit problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 3rd 2012, 07:21 PM
  2. Replies: 6
    Last Post: August 13th 2010, 01:03 AM
  3. Replies: 1
    Last Post: August 8th 2010, 11:29 AM
  4. Limit Problem
    Posted in the Calculus Forum
    Replies: 12
    Last Post: April 17th 2010, 10:10 AM
  5. Limit, Limit Superior, and Limit Inferior of a function
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 3rd 2009, 05:05 PM

Search Tags


/mathhelpforum @mathhelpforum