ad infinitum
Continuously without end. The phrase is Latin for "to infinity." Repairs to the old house seemed to go on ad infinitum—every time we finished a project, another awaited us.
ˌad infiˈnitum
(from Latin) without ever coming to an end; again and again: You cannot stay here ad infinitum without paying any rent.The problem would be repeated ad infinitum.The meaning of the Latin phrase is ‘to infinity’.