The Physics of limθ→0(sinθ)/θ=1

• Ian Lovat ^[1]
  1. [1] Mount Royal University

     Mount Royal University

     Canadá

     
• Localización: The Physics Teacher, ISSN 0031-921X, Vol. 57, Nº. 8, 2019, págs. 558-559
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Students in first-year calculus meet limθ→0(sinθ)/θ=1, perhaps as a step toward finding the derivative of sin θ. If they see a proof, it involves a version of the so-called squeeze theorem, resulting in cos θ ≤(sin θ)/ θ ≤ 1/(cos θ). All very nice, rigorous, elegant even, but… ACKNOWLEDGMENTS The author wishes to thank the two anonymous reviewers for several very helpful suggestions.