Cauchy Sequence that Does Not Converge What are some good examples of sequences which are Cauchy, but do not converge?
I want an example of such a sequence in the metric space $X = \mathbb{Q}$, with $d(x, y) = |x - y|$.  And preferably, no use of series.

This agood example for acauhy seqeance
but is not convergent.Take Xn€Q suhc that
        Xn^2<2 this imples Xn<2^2 
    then Xn convergent to 2^2 which dont belong  to Q.
      So is not convergent.
