I've asked a bank what they require in order to open a bank account for an llc, and the main thing was a "certificate of good standing".
Since the "certificate of good standing" or even the "article of organization" don't necessarily include the members' names, it seems that the bank can't know if the person is really a member of the llc. Apparently the bank doesn't care because the person will be liable for the account (in case of overdraft, for example).
But then doesn't that somewhat contradict the reason for creating an llc?
The question is: Is this true? Does the person become personally liable for the account?