Final answer:
To resolve an activation issue with Battlefield 3 on Origin, verify the product key and check computer settings, then contact customer support if needed or possibly reinstall the game.
Step-by-step explanation:
When encountering an issue with activating Battlefield 3 Limited Edition on Origin, the recommended action is to first locate the product key and ensure it is entered correctly. If there are still issues, the next step would be to check the computer settings to make sure they meet the game's requirements and that there are no conflicts preventing activation.
If the problem persists, contact customer support for further assistance. Reinstalling the game could also be attempted, but it's usually best to try the other solutions first.