I've done $4800 on my USBank Altitude Reserve via Apple Pay in person as a portion of car payment. There's no set limit but your bank could theoretically set their own. In the USA I can't imagine why they would though. Countries that have NFC limits on tapping the card itself generally have them because they have chip+pin and so if someone gets a hold of your card they can't make any large purchases. In the USA, Apple Pay is clearly more secure than using the card directly.