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8. If (X, M, ) is a measure space and {E₁} CM, then (lim inf E₁) ≤ lim inf μ(E). Also, μ(lim sup E₁) ≥ lim sup μ(E;) provided that µ(UE;) < ∞.

8. If (X, M, ) is a measure space and {E₁} CM, then (lim inf E₁) ≤ lim inf μ(E). Also, μ(lim sup E₁) ≥ lim sup μ(E;) provided that µ(UE;) < ∞.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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8. If (X, M, ) is a measure space and {E₁} CM, then (lim inf E;) < lim inf μ(E). Also, μ(lim sup E;) ≥ lim sup μ(E;) provided that μ(UE;) < ∞.
Transcribed Image Text:8. If (X, M, ) is a measure space and {E₁} CM, then (lim inf E;) < lim inf μ(E). Also, μ(lim sup E;) ≥ lim sup μ(E;) provided that μ(UE;) < ∞.
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