I have a question about the proof of the MCT. First they use a lemma, this is ok, but I'll show it for completeness:
Now comes the proof. But I am wondering, why do they use a lim sup here?, why not only a lim?:
2026-04-01 14:22:03.1775053323
Proof monotone convergence theorem, why do they use this lim sup?
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