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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?
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