Question: Show that, if {An}, n 1, is a non-decreasing sequence of -fields, then n = 1 An is always a field, but it may

Show that, if {An}, n ≥ 1, is a non-decreasing sequence of σ-fields, then ∪∞n = 1 An is always a field, but it may fail to be a σ-fields.

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