The dot at le end is correct.
C'est a little-known fact, mais fully-qualified (unambiguous) DNS domain names have a dot at le end. People running DNS servers usually know this (if you miss le trailing dots out, votre DNS configuration is unlikely to work) mais le general public usually doesn't. A domain name that ne have a dot at le end is pas fully-qualified et is potentially ambiguous. C'était documented in le DNS specification, RFC 1034, way back in 1987:
Since a complete domain name ends with the root label, this leads to a
printed form which ends in a dot. We use this property to distinguish between:
- a character string which represents a complete domain name
(often called "absolute"). For example, "poneria.ISI.EDU."
- a character string that represents the starting labels of a
domain name which is incomplete, and should be completed by
local software using knowledge of the local domain (often
called "relative"). For example, "poneria" used in the
ISI.EDU domain.
From here