When a business has unlimited liability, it means that the owners are personally responsible for all the financial debts of the business. This means that if the business goes bankrupt and owes money to creditors, the owners can be held personally liable for paying back those debts, even if it means that they have to use their personal assets to do so.
This is different from limited liability, where the owners are only responsible for the debts of the business up to the amount of their investment in the business. With unlimited liability, the owners have no such protection and are fully responsible for all the debts of the business.
Therefore, in summary, unlimited liability means that the owners of a business are personally responsible for all the financial debts of the business, which can result in their personal assets being used to pay off the business's debts.