Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

NEED HELP Measurable real valued functions

  1. Nov 2, 2011 #1
    Need help with this - just had this on a test and this is driving me crazy - PLEASE HELP!!

    Let {[itex]f_{n}[/itex]} be a sequence of MEASURABLE real valued functions. Prove that there exists a sequence of positive real numbers {[itex]c_{n}[/itex]} such that [itex]\sum c_{n}f_{n}[/itex] converges for almost every x [itex]\in[/itex] [itex]\Re[/itex]

    How is it possible for this to be true??? Please help!!
     
    Last edited: Nov 2, 2011
  2. jcsd
  3. Nov 3, 2011 #2
    What methods have you tried so far?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook