Results 1 to 4 of 4

Math Help - Proving the Continuous Function

  1. #1
    Junior Member
    Joined
    Oct 2010
    Posts
    61

    Proving the Continuous Function

    be the Function (in the picture)

    how i Prove that the functionare Continuous for any x>or=0 ?

    thanks.
    Attached Thumbnails Attached Thumbnails Proving  the Continuous Function-12.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,964
    Thanks
    1784
    Awards
    1
    How rigorous must the proof be?
    What theorems can be used?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,427
    Thanks
    1857
    An "epsilon-delta" proof would be long and tedious. A proof using the facts that \sqrt{x}, 2x, and tan^{-1}(x) are continous functions and that the composition of continuous functions is continuous would be almost trivial.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Oct 2010
    Posts
    61
    thanks from here i know how to keep.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. proving a function is continuous with a given topology
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: January 12th 2011, 06:48 PM
  2. Proving a Function is Continuous
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: October 15th 2010, 04:08 AM
  3. Replies: 0
    Last Post: August 31st 2010, 05:38 PM
  4. Proving a function is continuous
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 18th 2009, 09:25 PM
  5. Proving the Zero Set of a Continuous Function is Closed
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: March 2nd 2009, 09:31 PM

Search Tags


/mathhelpforum @mathhelpforum