Results 1 to 2 of 2

Thread: Real Analysis: Functions

  1. October 28th 2010, 05:04 PM #1
    Phyxius117
    Phyxius117 is offline
    Junior Member
    Joined
    Nov 2008
    Posts
    65

    Real Analysis: Functions

    I don't know how to start this proof. Help please!!




    Thank you!!
    Follow Math Help Forum on Facebook and Google+
  2. October 28th 2010, 06:30 PM #2
    Defunkt
    Defunkt is offline
    Super Member
    Joined
    Aug 2009
    From
    Israel
    Posts
    976
    Let \epsilon > 0 and take \delta>0 such that |x-c| < \delta \Rightarrow |g(x)-0| < \epsilon

    Try to estimate |f(x)g(x) - 0| using what I've given you and using the fact that f is bounded on A.
    Follow Math Help Forum on Facebook and Google+
« Closed Cauchy sequence proof | Numerical Analysis: Interpolation of Data »

Similar Math Help Forum Discussions

  1. Limits of Functions in Real Analysis
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: October 21st 2010, 08:02 PM
  2. Real Analysis Limits of Functions
    Posted in the Differential Geometry Forum
    Replies: 8
    Last Post: October 19th 2010, 11:58 AM
  3. Continuity of functions - Real Analysis
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 13th 2008, 02:22 PM
  4. Real Analysis Continuous Functions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 7th 2008, 07:16 AM
  5. Real Analysis continuous functions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 29th 2007, 12:46 PM

Search Tags


/mathhelpforum @mathhelpforum