Who Would Win?? xˣ
A limit staged as a matchup: xˣ.
Use this cartoon
Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.
Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2025-09-10-who-would-win--x-to-the-x/ (CC BY-NC 4.0)Transcript
lim_{x→0⁺} xˣ: SUPER-FAST SHRINKING vs. SUPER-BRIEF TIME IN WHICH TO SHRINK. WINNER: the brevity of time, which makes all of our powers seem like zero