Example of a metric space

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Reference no: EM13167854

1. Give a counter example, i.e., a metric space and a sequence, that disproves the
claim: Every Cauchy sequence converges; and then prove this example is Cauchy sequence and not converges.

2. On the other hand, give an example of a metric space in which every Cauchy sequence converges; and then prove this metric space is Cauchy sequence and also converges.

Reference no: EM13167854

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