This cycle repeats itself ad infinitum.

这个周期一直循环往复。

The problem would be repeated ad infinitum.

这个问题会一再出现。

You cannot stay here ad infinitum without paying rent.

你不付房租就不能永远住在这里。

The problem would be repeated ad infinitum .

这个问题会一再出现。

You cannot stay here AD infinitum without paying any rent.

你不能一分钱房租也不付永远住在这里。