Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By romsek

Math Help - Contionous points

  1. #1
    Member
    Joined
    Jun 2013
    From
    Israel
    Posts
    158

    Contionous points

    I explained the question in the picture.
    By the way, The question ask to find all continuous points. What is that mean to be continous at a point?
    Attached Thumbnails Attached Thumbnails Contionous points-r.png  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    2,357
    Thanks
    910

    Re: Contionous points

    Quote Originally Posted by davidciprut View Post
    I explained the question in the picture.
    By the way, The question ask to find all continuous points. What is that mean to be continous at a point?
    continuity of f at a point x means

    f(x)=\displaystyle{\lim_{t\to x}}f(t)

    other than using the word intensity where I think you mean density this looks correct.
    There is an irrational number in any delta neighborhood of every rational no matter how small and vice versa.
    So D has no limit at any of the rational or irrational numbers and thus is continuous nowhere.
    Thanks from davidciprut
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: August 24th 2011, 11:35 AM
  2. Replies: 1
    Last Post: February 9th 2011, 10:52 AM
  3. Replies: 2
    Last Post: October 29th 2009, 08:02 PM
  4. Replies: 5
    Last Post: February 27th 2009, 07:48 PM
  5. Replies: 3
    Last Post: January 11th 2009, 11:49 AM

Search Tags


/mathhelpforum @mathhelpforum