Is there a limit to how many blocks that an Enderman can traverse (either laterally or vertically) with a single teleport? Or is their teleporting radius essentially unlimited?
Edit: The wiki article on Endermen was updated with the following statement:
While this is quite ambiguous, a 32 block horizontal teleport distance seems accurate from my experience with Endermen teleporting.
I presume this means that there is no limit to how far Enderman can teleport. However, because the Enderman would have to exist in order for it to teleport to the character, I believe that if you somehow get 128 blocks away from a hostile Enderman (causing it to despawn), the Enderman won't teleport to you. (If it somehow stays loaded in memory, it would still be able to teleport, though.)