TaxGuyBill
Level 15
If this is not a "temporary absence", then the Child is not a "Qualifying Child".  That means they do not qualify for the $2000 credit.

If they qualify to claim the child as a "Qualifying Relative" (parents pay for over 50% of child's support and the child has less than $4150 of income, and assuming the grandparents are not filing a US tax return), then they will qualify for the $500 credit.