I'm struggling in understanding why, if I know that a subsequence of $$\sup_n|X_n|\to0 \ \ a.s.$$ then also $$|X_n| \to 0 \ \ a.s$$ Could someone help me?
2026-03-29 07:29:00.1774769340
Convergnence of subsequence of $\sup |X_n$| imply convergence of the real sequence |$X_n$|
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