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Question: dct dominated convergence theorem...

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Problem 1 (Measuring the estimate in Fatous lemma in case of pointwise con vergence). Assume fn : S → [0,oo) are integrable functions for n-1 and assume (Nn)n-i converges pointwise to an integrable function f : S → 10,00). Show that Hint: Apply DCT to the function gn-2 mínUn, f}·

DCT = Dominated Convergence Theorem

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