For what values of n is (1+1 / n)^n within 1 % of e? Within 0.0001 % of e? Similarly, for what v

Name: Problem 1, Chapter 5: Probability and Computing
Uploaded: 2026-07-02T19:13:31-08:00
Duration: 1 min 16 s
Channel: Nick Johnson
Description: For what values of n is (1+1 / n)^n within 1 % of e? Within 0.0001 % of e? Similarly, for what values of n is (1-1 / n)^n within 1 % of 1 / e ? Within 0.0001 % ?

Question

Nick Johnson · Accepted Answer

step 1 Okay, hello. So using relative error for 1 plus 1 over n to the N within E, we have that 1 % and

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