I am trying to prove that all three major theorem in Real Analysis are equivalent, but I don't know how to prove Fatou's Lemma and Monotone Convergence Theorem using Lebesgue Dominated Convergence Theorem. For example, can anyone give me a hint on how to prove Fatou's Lemma (or Monotone Convergence Theorem) using Lebesgue Dominated Convergence Theorem? Thanks.
2026-04-17 17:59:57.1776448797
Using Lebesgue Dominated Convergence Theorem to prove Fatou's Lemma
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