The maximum amount of dependent care benefits that can be claimed for the child and dependent care credit is $3,000 for one qualifying individual or $6,000 for two or more qualifying individuals. This limit applies to the combined amount of expenses paid for dependent care services and the amount of dependent care benefits received. It is important to note that there are income limits for this credit, and the amount of the credit you can claim may be reduced or eliminated if your income exceeds certain thresholds.