Prove that {x_n} converges. Need to use info in a) and b)

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Q: 7N 8N 3) Show that converges/diverges.

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Q: Let {an} and {bn} be two Cauchy sequences of real numbers. Then show that the sequence {|an − bn|}…

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Q: A monotone sequence converges if and only if it is bounded.

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Q: Let {n} be a bounded sequence. Show that {n} converges iff lim sup (n) = lim inf (x₂)

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Q: A and the set B = {x, y}, then A X B is denumerable as well.

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Q: ii) n = √9n²+ n-3n.

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Q: Sp

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Q: Σ converges/diverges N! 9) Show that

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Q: Suppose {a,} is monotonic. Prove that {an} converges if and only if {a} converges

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Q: EXERCICE 7. Let be the recurrent positive sequence (an)? = 1+ 3an-1 ao = 0 avec

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…