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Let (xn) be Cauchy in (M, d) and a ∈ M. Show that the sequence d(xn,...

Let (xn) be Cauchy in (M, d) and a ∈ M. Show that the sequence
d(xn, a) converges in R. (Note: It is not given that xn converges to a.
Hint: Use Reverse triangle inequality.)

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