limit _{n-> infinity }n(1-((1+(1)/(n+1))^((n+1)^(2)))/(e(1+(1)/(n))^(n^(2)))) limit _{n-> infinity }n(1-((1+(1)/(n+1))^((n+1)^(2)))/(e(1+(1)/(n))^(n^(2))))

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