Let fn be a sequence of non-negative integrable Lebesgue functions on the interval (0,10) such that fn (x) → f(x) almost for all x € (0,10). Let he Proof that: 10 [₁°F + F Hint: use Fatou's motto. F(x) = ffdm F₂(x) = f* fnc 0 fndm 10 of from (f+F) dm ≤ lim inf n→ 00 (n + Fn) dm

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