Results 1 to 2 of 2

Math Help - Continuity problem

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    15

    Continuity problem

    Show that if f and g are uniformly continuous on a subset A of Reals, then f+g is uniformly continuous on A.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,386
    Thanks
    1476
    Awards
    1
    Quote Originally Posted by gixxer998 View Post
    Show that if f and g are uniformly continuous on a subset A of Reals, then f+g is uniformly continuous on A.
    Note that |(f+g)(x)-(f+g)(y)|\le |f(x)-f(y)|+|g(x)-g(y)|
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help with a continuity problem!
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 26th 2011, 05:08 PM
  2. Continuity problem
    Posted in the Calculus Forum
    Replies: 10
    Last Post: July 11th 2010, 04:24 AM
  3. Continuity problem help..
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: June 2nd 2010, 10:56 AM
  4. Continuity problem
    Posted in the Calculus Forum
    Replies: 7
    Last Post: January 27th 2010, 04:20 AM
  5. continuity problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 13th 2007, 06:56 PM

Search Tags


/mathhelpforum @mathhelpforum