Gonzalo Higuain's first-half goal confirms Argentina as group winners, while Lionel Messi's 100th appearance is marked with a selfie.
Manchester United's Angel Di Maria went close on two occasions and Messi was unfortunate not to score.
Jamaica forward DeShorn Brown asked Messi to pose for a photo after the game.
Watch highlights of every Copa America match on the BBC Sport website. Available to UK users only.