"Limited beta" refers to a software or service that is made available to a small group of users for testing and feedback purposes before it is released to the general public. Full definition
Companies can also learn to make sales using «offers» (which is in limited beta) to drive people to sign up and buy. (inc.com)
They disagree, arguing that they generate alpha by limiting beta; that is, by not losing your money in the first place. (mutualfundobserver.com)
We're not one hundred percent sure yet whether this is an accident or an intentional limited beta run exclusively for the country, but we're starting to think it's intentional. (animalcrossingworld.com)