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QUESTION
(9) Let /2(N) = {a = (an)nEN : an E C and gt;ner lan(? lt; co}. If d(a, b) := VEnel lai - bil?
Prove that the following is a metric space and that the set is complete
(9) Let /2(N) = {a = (an)nEN : an E C and >ner lan(? < co}. If d(a, b) := VEnel lai - bil?show that this is a metric. For an added challenge, show that this space is complete.