How can you show that (1-2/n^2)^(n^2/2) <= 1/e ?

Mark Rosales

Mark Rosales

Answered question

2022-11-18

How can you show that
( 1 2 n 2 ) n 2 / 2 1 e n 2

Answer & Explanation

Ryan Davies

Ryan Davies

Beginner2022-11-19Added 18 answers

You know that
lim n ( 1 + 1 n ) n = e
Hence, you know that
lim n [ ( 1 + 1 n 2 2 ) n 2 2 ] 1 = e 1 = 1 e

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