(a) a sequence {an} that is not monotone (nor eventually monotone) but diverges to ∞ (b)...

(a) a sequence {a_n} that is not monotone (nor eventually monotone) but diverges to ∞
(b) a divergent sequence {a_n} such that {a_n/33} converges
(c) two divergent sequences {a_n} and {b_n} such that {a_n + b_n} converges to 17
(d) two convergent sequences {a_n} and {b_n} such that {a_n/b_n} diverges
(e) a sequence with no convergent subsequence
(f) a Cauchy sequence with an unbounded subsequence

Solutions

Expert Solution

Colby Messinger answered 1 year ago

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