Mathematics · Real Analysis

Let {E n } be a sequence of subsets of &mathbb;R. Define: lim sup n E n = ∩ k=1 ∞ ∪ n=k ∞ E n lim inf n E n = ∪ k=1 ∞ ∩ n=k ∞ E n Which of the following statements is true?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

lim inf n E n = {x : x ∈ E n for all but finitely many n}

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