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QUESTION
Let X be a non empty set and d be the discrete metric on X. Let {x n } be a Cauchy sequence in (X,d).
Let X be a non empty set and d be the discrete metric on X. Let {xn } be a Cauchy sequence in (X,d).
- i) Show that there exists k elements of N such that
xn = xk
- ii) Does it follow from this that every discrete metric is complete
