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2. Let c C 1300 (N) be the set of all sequences :13 = (16) such that lim1.,__,DO Izcnl = 0. Note that c is

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2. Let c C 1300 (N) be the set of all sequences :13 = (16\") such that lim1.,__,DO Izcnl = 0. Note that c is a vector subspace of 130(N) (you do not need to prove that). Consider INN) as a subset of 30(N). (1) Prove that cl(1(N)) = c. (2) Find at and int(c) in 6'\" (N). Justify carefully your answers

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