Mark each statement True or False. Justify each answer.
(a) If lim sn = s and lim tn = t, then lim (sntn) = st.
(b) If lim sn = +∞, then (sn) is said to converge to + ∞.
(c) Given sequences (sn) and (tn) with sn ≤ tn for all n ϵ ℕ, if lim sn = +∞, then lim tn = +∞.
(d) Suppose (sn) is a sequence such that the sequence of ratios (sn+1/sn) converges to L. If L < 1, then lim sn = 0.
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