Results 1 to 2 of 2

Math Help - Proof Question 2

  1. #1
    Junior Member
    Joined
    Sep 2008
    Posts
    47

    Proof Question 2

    Suppose that the function g : R -> R is continuous and that g(x) = 0 if x is rational. Prove that g(x)=0 for all x in R.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Mar 2007
    Posts
    1,240

    Talking

    Quote Originally Posted by wvlilgurl View Post
    Suppose that the function g : R -> R is continuous and that g(x) = 0 if x is rational. Prove that g(x)=0 for all x in R.
    What is the epsilon-delta definition of "continuity"? What happens if you assume that g(x) is not equal to zero for some irrational number?

    Thank you!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Somehow different question about a proof
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: September 7th 2011, 12:39 PM
  2. proof question 2,1
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: October 26th 2009, 02:54 PM
  3. Proof question
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: September 30th 2009, 06:41 PM
  4. Question on proof
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 1st 2009, 11:12 AM
  5. Proof Question 2
    Posted in the Advanced Algebra Forum
    Replies: 15
    Last Post: January 16th 2008, 12:51 PM

Search Tags


/mathhelpforum @mathhelpforum