When you hold a mirror in front of another mirror, do the repeated images that are reflected back go on forever?

Have you ever held a mirror in front of another mirror and “looked down” the repeated images that are reflected back to you? I know you can only see as far as your eyes can take you, but I have always wondered if the images go on indefinitely, or is there a definite end to them? I know this is a silly, bizarre question, but I’ve always been curious.