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The exact value is √2π=2.5066. But this is a mere curiosity and can be found later by calculus.
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Engel, A. Systematic use of applications in mathematics teaching. Educational Studies in Mathematics 1, 202–221 (1968). https://doi.org/10.1007/BF00426244
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DOI: https://doi.org/10.1007/BF00426244