Credit limits on the Citi Double Cash card range from a minimum of $300 to a max of $25,000. This account offers different credit tiers depending on your overall financial history with Citibank and other lenders who report information about you to one or more credit bureaus. Generally speaking, if you have good credit (a FICO credit score above 700), you will receive a higher limit than if your overall financial history with other lenders is not so good.