It's hard to keep up with the fashionable trends of the day, and mathematical fashion isno exception. The fashion season of 2024 has the following unspoken fashion rules: 1 is fashionable.
If a and b are fashionable numbers, then so is 1/a+b.
All other numbers are "so last year" and thus not fashionable.
Find the smallest and largest fashionable numbers, and prove that they are the smallest and largest.
