Let X Be A Non Empty Set And D Be The Discrete Metric On X Let X N Be A Cauchy S

/in /by

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
 
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