Let (sn) be a sequence that converges. (a) Show that if sn ≥ a for all but finitely many n, then lim sn ≥ a. (b) Show that if sn ≤ b for all but finitely many n, then lim sn ≤ b. (c) Conclude that if all but finitely many s belong to [a, b], then lim s belongs to [a, b].

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A: Limit of the converges sequence

Q: help pleae

A: Step 1:   Step 2: Step 3: Step 4:

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