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) | $x(\mathbb{N}) \subseteq B(0, 2)$ |
(2) | $x$ is not a D65: Cauchy sequence in $M$ |