Question: need help with this 17. Show that every Cauchy sequence is bounded. (Hint use GNU instead of a in the above exercise) 18. Show that

need help with this

17. Show that every Cauchy sequence is bounded. (Hint use GNU instead of a in the above exercise) 18. Show that every convergent sequence is a Cauchy sequence. Definition A sequence {an} is Cauchy if for each positive e there exists an No such that d(an, am) No. In words all but finitely many terms of a Cauchy sequence are within an e distance from one to each other. Example Show that an = 1 is a Cauchy sequence. All we need is a formula for No in: For each e > 0 there exists an No such that d(an, am) = | n m No. Scratch work. The inequality |2 - - |

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