# NEED HELP Measurable real valued functions

1. Nov 2, 2011

### azztech77

Need help with this - just had this on a test and this is driving me crazy - PLEASE HELP!!

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

How is it possible for this to be true??? Please help!!

Last edited: Nov 2, 2011
2. Nov 3, 2011

### Citan Uzuki

What methods have you tried so far?

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