极限存在准则的问题 高数简单问题

2025-05-17 16:00:17
推荐回答(3个)
回答1:

g.e. = lim{{[1+1/(2n)]^(2n)}^(-2)}*[1+1/(2n)]
= [e^(-2)]*1
= e^(-2)

回答2:

n→∞lim(1+1/2n)¹⁻⁴ⁿ=n→∞lim{[(1+1/2n)²ⁿ]⁻²}(1+1/2n)
=n→∞lim{[(1+1/2n)²ⁿ]⁻²}[n→∞lim(1+1/2n)]=e⁻²

回答3:

将1-4n分解成1和-2*(2n)
则结果为e^(-2)