Let $M = (\mathbb{R}, d)$ be the D4369: Standard real metric space such that
| (i) | \begin{equation} x : \mathbb{N} \to \mathbb{R}, \quad x_n : = (-1)^n \end{equation} |
Then
| (1) | \begin{equation} \forall \, n \in \mathbb{N} : x_n \in (-11/10, 11/10) \end{equation} |
| (2) | $x$ is not a D65: Cauchy sequence in $M$ |