  Let $\mathscr{C}$ be an $n$-exangulated category. In this note, we show that
if $\mathscr{C}$ is locally finite, then $\mathscr{C}$ has Auslander-Reiten
$n$-exangles. This unifies and extends results of Xiao-Zhu, Zhu-Zhuang, Zhou
and Xie-Lu-Wang for triangulated, extriangulated, $(n+2)$-angulated and
$n$-abelian categories, respectively.
