Let (fn ne N) and f be an extended real-valued measurable functions on a set DCR...

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Let (fn ne N) and f be an extended real-valued measurable functions on a set DCR such that limn- fn = f on D. Then for every a ER measurable prove that: (i) {x D: f(x) > a} a} (ii) n→∞ {x D: f(x) < a} Let (fn ne N) and f be an extended real-valued measurable functions on a set DCR such that limn- fn = f on D. Then for every a ER measurable prove that: (i) {x D: f(x) > a} a} (ii) n→∞ {x D: f(x) < a}

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