Ad infinitum is a Latin phrase meaning "to infinity" or "forevermore".
In context, it usually means "continue forever, without limit" and thus can be used to describe a non-terminating process, a non-terminating repeating process, or a set of instructions to be repeated "forever," among other uses. It may also be used in a manner similar to the Latin phrase et cetera to denote written words or a concept that continues for a lengthy period beyond what is shown. Examples include:
This text is part of the nursery rhyme "The Siphonaptera".