I want to determine the limit of the sequence x n </msub> = (

racodelitusmn

racodelitusmn

Answered question

2022-07-10

I want to determine the limit of the sequence
x n = ( e e 3 . . . e n n )

Answer & Explanation

Nathen Austin

Nathen Austin

Beginner2022-07-11Added 14 answers

x n = e n k = 3 n e 1 k = e n e H n 3 2 = e 1 log n + ( log n + γ + o ( 1 ) ) 3 2 = e γ 1 2 + o ( 1 )
Therefore the desired limit is e γ 1 2

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