Unlimited, a.
1. Not limited; having no bounds; boundless; as, an unlimited expanse of ocean.
2. Undefined; indefinite; not bounded by proper exceptions; as, unlimited terms. "Nothing doth more prevail than unlimited generalities." Hooker.
3. Unconfined; not restrained; unrestricted. Ascribe not unto God such an unlimited exercise of mercy as may destroy his justice. Rogers. Unlimited problem (Math.), a problem which is capable of an infinite number of solutions. -- Unlimited pump, a kind of deep-well pump placed at the level of the water, and operated from above ground. -- Un*lim"it*ed*ly, adv. -- Un*lim"it*ed*ness, n.
Shades of meaning
Fernald has no entry of its own for unlimited; he lists it under infinite.
Where he writes about it:
So, too, boundless, illimitable, limitless, measureless, and unlimited are loosely used in reference to what has no apparent or readily determinable limits in space or time; as, we speak of the boundless ocean. — from infinite