The Infinite Hotel-brain teaser

Riddle 
A hotel with an infinite number of rooms is fully occupied. A new guest arrives. How can the hotel accommodate the new guest without evicting anyone?

    Move the guest in room 1 to room 2, the guest in room 2 to room 3, and so on, freeing up room 1 for the new guest. This method works because the hotel has an infinite number of rooms.