Define the metric spaces with $\displaystyle ( \mathbb {Z} , \rho ) $, the set of integers with the metric $\displaystyle \rho (x,y) = \mid x - y \mid $

Find sequence $\displaystyle \{ x_n \} $ in this metric space such that it is cauchy but do not converge.

I understand I must find a sequence that takes only integer values but converge to non-integer. But how should I get it to be cauchy?

Thank you.