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Question b

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a. A d21.sdbor.edu 10. Homework 10, due Monday, April 10th Consider the set 12 = {01902,...,@n}, the measure space (2,22, 1) where u({0;}) = a; with 0 < a;
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Lemma. Let (Ω, 𝜇) be a measure space. Let 𝜔 ∈ Ω, 𝜇(𝜔) exists and 0 < 𝜇(𝜔) < ∞.
𝜇

Let 𝑓𝑛 → 𝑓, then 𝑓𝑛 (𝜔) → 𝑓(𝜔).

From this lemma, we see that 𝑓𝑛 (𝜔𝑘 ) → 𝑓(𝜔�...


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