Let (an)n and (bn)n be two real sequences such that an ≤ bn forall n ∈ N. (a) If limn→∞ an = +∞ show that limn→∞ bn = +∞. (b) Iflimn→∞ bn = −∞ show that limn→∞ an = −∞.
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Let (an)n and (bn)n be two real sequences such that an ≤ bn forall n ∈ N. (a) If limn→∞ an = +∞ show that limn→∞ bn = +∞. (b) Iflimn→∞ bn = −∞ show that limn→∞ an = −∞.
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