Two inequalities about using Fatou Lemma – math.stackexchange.com

Two inequalities about using Fatou Lemma – math.stackexchange.com

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1) Let $\{f_n\}$ be a sequence of nonnegative measurable functions of $\mathbb R$ that converges pointwise on $\mathbb R$ to $f$ integrable. Show that if $$\int_{\mathbb R} f = \lim_{n\to \infty}\...

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