Mark each statement True or False. Justify each answer.
(a) If (sn) is a sequence and si = sj, then i = j.
(b) If sn → s, then for every ε > 0 there exists N ∈ ℕ such that n ≥ N implies |sn − s| < ε.
(c) If sn → k and tn→ k, then sn = tn for all n ∈ ℕ.
(d) Every convergent sequence is bounded.
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