I have an iPhone 14 pro max I would like to get apple-care for

You can check in general>about to see if you have a plan offer, call Apple Support or do it online

Buy an AppleCare plan – Apple Support

Udera Said:

"I have an iPhone 14 pro max I would like to get apple-care for: I have an iPhone 14 max pro and would like to register for apple-care"

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Getting iPhone AppleCare:

1. Get the Serial Number:Find the Serial Number or IMEI on your iPhone, iPad, or iPod touch - Apple Support
2. Enter the Serial Number here: https://checkcoverage.apple.com/.
3. View the Results: If this is applicable for getting AppleCare+ coverage, then it will provide you with what you options are to get.