Question: Problem 5 (10pt). Let E C R* be a measurable set and f1, f2, ... be a sequence of real-valued measurable functions defined on E.

Problem 5 (10pt). Let E C R* be a measurable set and f1, f2, ... be a sequence of real-valued measurable functions defined on E. Define a subset Eo C E by Eo = {x E E| fn(x) converges as n -+ 00 . Show that Eo is measurable. Hint: verify that E = NU n {EEllin(x) - fm(2)| l

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