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Question: please answer to both parts to the best of your...

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Please answer to both parts to the best of your abilities with full details.

4. (a) Let A be a closed set. Show that if x.,, E A for m 1,2,... and xo lim, then xo E A. (b) If A is not closed, show that there exists a sequence [%), with xmEA for m 1,2,..., converging to a limit xo f A.

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