Nicholas R.

asked • 08/25/19

Question regarding limits of sequences and functions.

Given that lim n→(1+1/n)^n = e :


(a) Show that lim n→∞(1-1/n)^n = lim k∞(k/k+1)^(k+1)


(b) Hence, show that lim n∞(1-1/n)^n = 1/e


(c) Therefore, using the Squeeze Theorem, find lim n∞(n!/n^n).

1 Expert Answer

By:

Paul M. answered • 08/25/19

BS Mathematics, MD

Nicholas R.

Thank you very much for your help!
Report

08/26/19

Paul M.

tutor
You are welcome.
Report

08/26/19

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