Question: Let B1, B2 , ... be a countable partition of S; that is, Bi Bj = for all i = j, and

Let B1, B2

 , ... be a countable partition of S; that is, Bi ∩ Bj = ∅ for all i

= j, and iBi = S. Let An = Bn ∪ Bn+1 ∪···. Find lim An.

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