Who Would Win?? Alternating Harmonic Series
A limit staged as a matchup: Alternating Harmonic Series.
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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--alternating-harmonic/ (CC BY-NC 4.0)Transcript
1 − 1/2 + 1/3 − 1/4 + 1/5 − …: LOTS OF TEENY-TINY REVENUES vs. LOTS OF TEENY-TINY EXPENSES. WINNER: as written, revenues win by a nose, but with a little creative accounting you can cook the books however you want