(3pts each implication) Consider a set E Rn Show that E is closed if and only if, for every sequence (an)n2N with an 2 E for all n that converges to some point p2Rn, one has p2E Exercise 5 (10 points, 5 points for each) Assume E Rn and E0 Rn are two sets such that E E0 Show that E E0 and that E E0

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(3pts each implication) Consider a set E Rn  Show that E is closed if and only if, for every sequence (an)n2N with an 2 E for all n that converges to some point p2Rn, one has p2E  Exercise 5 (10 points, 5 points for each)  Assume E Rn and E0 Rn are two sets such that E E0  Show that E E0 and that E E0

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Question: (3pts each implication) Consider a set E Rn. Show that E is closed if and only if, for every sequence (an)n2N with an 2 E

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