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3. Let A1, A2, A3, . .. be subsets of a metric space. (a). If Bn = UP Ai, prove that Bn = UP_JAi.(b). If

3. Let A1, A2, A3, . .. be subsets of a metric space. (a). If Bn = UP Ai, prove that Bn = UP_JAi.(b). If B = (9% i=1 Aj, prove that B D Upo i= 1 Aj Give an example for which (b) above is strict. O

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