What separates infinity from the largest number less than infinity?
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This is actually interesting with a very complex hour but infinty-th is a decent start
(There are differing levels of infinity such as infinity + or * infinity. or -infinity.)
The reason this works is because infinty-th is an infinite amount of zeros then a one at the end. Although you could get smaller by dividing infinity-th by infinity an infinite number of times. But get this you can get even smaller by doing this infinity-th^-infinity and even smaller by doing this infinty-th^-1(infinity^infinity) and raising the inside of that parenthesis o the power of infinity an infinite number of times. It could get smaller then that with some more math but you get the point
The reason you want a infinitely small number is to subtract from from infinity to make the largest number less then infinity.
This concept is the solution of the infinite hotel paradox. There are infinite rooms and every room is occupied. What do you do when a new guest wants a room? You shift everyone to there room number plus one thus freeing one room. There is a lot of interesting mathematics involved with that and Vsauce did a great video on it fulling explaining it if you’re interested
Edit: I didn’t realize there were smaller numbers then infinity-th
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