1. Let (X, M, μ) be a measure space and suppose that {En} is a sequence of measurable set such that X = U1 En and En C En+1, for all ne N. Let f: X → R be a measurable function such that fx|f|du <∞. Show that lim n→+∞ lim n→+∞ √₁₂ |f|dµ = 0. So EC 2. Let g: R → R be a measurable function such that fx|g|dm <∞ (here m is the Lebesgue measure). Show that (*_ \9(x)|dx + [_~_* 19(x)|dx) = 0.

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