Arsenal made nine points from three games after demolishing Bournemouth 3-0 on Saturday night.
A double from Martin Odegaard and a screamer from William Saliba gave the Gunners another victory to continue their flying Premier League campaign.
The last time Arsenal won their first three games of the season, they went on to win the league in 2003-04.
This contrasts with last season when Arsenal opened with three straight losses to leave Mikel Arteta’s job under threat.
Arsenal is the only team to start with a maximum of nine points. Manchester City will also look for a third straight win when the defending champions play at Newcastle on Sunday.
The summer signing of Gabriel Jesus has done much to herald such a stark turnaround in fortunes and, while he did not add to his goal tally on the south coast, Brazil forward was again instrumental.