Mark each statement True or False. Justify each answer.
(a) If (sn) and (tn) are convergent sequences with sn → s and tn → t, then lim (sn + tn) = s + t and lim (sntn) = st.
(b) If (sn) converges to s and sn > 0 for all n ϵ ℕ, then s > 0.
(c) The sequence (sn) converges to s iff lim sn = s.
(d) lim sn = +∞ iff lim (1/sn) = 0.
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