Source : Webster's Revised Unabridged Dictionary (1913)

Unbounded \Un*bound"ed\, a.
   Having no bound or limit; as, unbounded space; an, unbounded
   ambition. --Addison. -- {Un*bound"ed*ly}, adv. --
   {Un*bound"ed*ness}, n.

Source : WordNet®

unbounded
     adj : seemingly boundless in amount, number, degree, or especially
           extent; "unbounded enthusiasm"; "children with
           boundless energy"; "a limitless supply of money" [syn:
           {boundless}, {limitless}]