Results 1 to 2 of 2

Math Help - how to show sinx uni converges

  1. #1
    Senior Member
    Joined
    Feb 2008
    Posts
    321

    how to show sinx uni converges

    y_{n}(x)=\sin(x), 0\leq |x| \leq 2\pi n and

    y_{n}(x)=0, 2\pi n< |x| <\infty
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by szpengchao View Post
    y_{n}(x)=\sin(x), 0\leq |x| \leq 2\pi n and

    y_{n}(x)=0, 2\pi n< |x| <\infty
    y_n(x) converges pointwise to \sin(x) ,but for all n there exists x_n such that |y_n(x_n)-\sin(x_n)|=1.

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Show that sin(a_n) converges
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: September 7th 2010, 11:16 AM
  2. How do I show that this sum converges?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 19th 2010, 11:55 AM
  3. How to show this converges to 0
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: November 15th 2009, 01:35 PM
  4. How to show this sequence converges
    Posted in the Calculus Forum
    Replies: 6
    Last Post: November 2nd 2009, 11:44 AM
  5. Show this sequence converges
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 4th 2008, 06:37 AM

Search Tags


/mathhelpforum @mathhelpforum