If you bleach often, there will be a point when your teeth cannot get any whiter. Usually your tooth shade color will fall in the bluish-white spectrum when this happens. At some point it will not do you any good to continue bleaching because your teeth can't get any whiter. This isn't advised. Remember, teeth whitening is serious business and over-exposure to any chemical or chemical process can cause side effects or worse yet, damage.
You can view the Teeth Whitening Simulator to get a better idea on what maximum whiteness would look like.