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A cute proof that makes e natural
Po-Shen Loh explains why Euler's number e is natural using only precalculus: one exponential curve has tangent slope 1 at the y-axis, which leads to the compound interest limit.
Official site of Po-Shen Loh: Carnegie Mellon math professor, former USA Math Olympiad coach, founder of LIVE, and a speaker in 100+ cities a year on thriving with AI.
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Po-Shen Loh explains why Euler's number e is natural using only precalculus: one exponential curve has tangent slope 1 at the y-axis, which leads to the compound interest limit.