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Could someone please check my work Prove every Cauchy Sequence is bounded. Suppose ( Sn) is a Cauchy sequence, Then by definition 4.3.9, VEDO INEIN

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Could someone please check my work

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Prove every Cauchy Sequence is bounded. Suppose ( Sn) is a Cauchy sequence, Then by definition 4.3.9, VEDO INEIN Such That Vn, MIN, JSA- SMILE. Ler E= 1. ( Fix n ) Lern = N+1 since N+1 > N. - VMEN, ISM - SN., |21 by The property of absolute values - VMEN - 1 = sy - Sy, el by Theorem 3.2.10(6) > Vm IN, S - 1

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