Question: Let lim(sn) = s. Prove that if the sequence (sn) is eventually contained in the closed interval [a, b], then s [a, b]. Hint: First

Let lim(sn) = s. Prove that if the sequence (sn) is eventually contained in the closed interval [a, b], then s ∈[a, b]. Hint: First show that if there is some N ∈N such that for all n > N , sn ≥a, then s ≥a. Then do the same for sn ≤b.

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