i. For a convergent real sequence sn and a real number a, show that if sn ≥ a for all but finitely many values of n, then limn→∞ sn ≥ a.ii. For each value of a ∈ ℝ, give an example of a convergent sequence sn with sn > a for all n, but where limn→∞ sn = a.
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i. For a convergent real sequence sn and a real number a, show that if sn ≥ a for all but finitely many values of n, then limn→∞ sn ≥ a.
ii. For each value of a ∈ ℝ, give an example of a convergent sequence sn with sn > a for all n, but where limn→∞ sn = a.
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