If In= (-1/(5n),1/(5n)) where n≥1 is an integer and In represents an interval on the real number line, find U(n=1 to infinity) In and ∩(n=1 to infinity) In.

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Answer: $\bigcap In = \{0\},$ $\bigcup In = (\frac {1}{5},-\frac {1}{5}).$

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Question ID: mtid-5-stid-8-sqid-3474-qpid-2173