set of Cauchy sequences complete matrix

75 Views Asked by At

Given a set S, let S* be the set of all Cauchy sequences. Is it true that S* is a complete metric space?

Suppose that $A, B \in S^*$. Then the metric is $\rho(A,B) = \lim_{v \to \infty} \rho(a_{v},b_{v})$.