lim(x趋向无穷)[1-(2/x)]^3x

lim(x趋向无穷)[1-(2/x)]^3x
lim(x趋向无穷)[1-(2/x)]^3x

lim(x趋向无穷)[1-(2/x)]^3x
x→∞
lim (1-2/x)^(3x)
=lim (1-2/x)^(-x/2 * (-6))
=[lim (1-2/x)^(-x/2)]^(-6)
根据重要的极限
=e^(-6)
有不懂欢迎追问