A Further Generalization of 


limn→∞n!/nn=1/e
{\lim _{n \to \infty }}\root n \of {n!/n}  = 1/e

References

[1] R.C. Baker and G. Harman, The difference between consecutive primes, Proc. London Math. Soc. 72 (1996), 261–280.10.1112/plms/s3-72.2.261
Search in Google Scholar Back to article
[2] R.C. Baker, G. Harman, and J. Pintz, The difference between consecutive primes. II, Proc. London Math. Soc. 83 (2001), 532–562.10.1112/plms/83.3.532
Search in Google Scholar Back to article
[3] F. Burk, S.K. Goel, and D.M. Rodriguez, Using Riemann sums in evaluating a familiar limit, College Math. J. 17 (1986), 170–171.10.1080/07468342.1986.11972952
Search in Google Scholar Back to article
[4] R. Jakimczuk, Some results on the difference between consecutive perfect powers, Gulf J. Math. 3 (2015), 9–32.
Search in Google Scholar Back to article
[5] B.J. McCartin, e: The master of all, Math. Intelligencer 28 (2006), 10–21.10.1007/BF02987150
Search in Google Scholar Back to article
[6] J. Rey Pastor, P. Pi Calleja, and C.A. Trejo, Análisis Matemático, Vol. 1, Editorial Kapelusz, Buenos Aires, 1969.
Search in Google Scholar Back to article
[7] N. Schaumberger, Alternate approaches to two familiar results, College Math. J. 15 (1984), 422–423.10.2307/2686554
Search in Google Scholar Back to article
[8] N. Schaumberger, A generalization of limn→∞n!/nn=1−e {\lim _{n \to \infty }}\root n \of {n!/n} = 1^{-e} , College Math. J. 20 (1989), 416–418.
Search in Google Scholar Back to article