lim(x→1)3次根号x^2-2乘3次根号x+1/(x-1)^2
问题描述:
lim(x→1)3次根号x^2-2乘3次根号x+1/(x-1)^2
答
lim{[x^(1/3)]^2-2*x^(1/3)+1}/(x-1)^2(x→1)=lim[(x^2)^(1/3)-2*x^(1/3)+1]/(x-1)^2(x→1)lim{[x^(1/3)]^2-2*[x^(1/3)]+1}/(x-1)^2(x→1)=lim[x^(1/3)-1]^2/(x-1)^2(x→1)=lim{[x^(1/3)-1]/(x-1)}^2(x→1)=lim{1/[x...