lim(x→1）3次根号x＾2-2乘3次根号x+1/(x-1)＾2_数学解答

lim(x→1）3次根号x＾2-2乘3次根号x+1/(x-1)＾2

人气：355 ℃　时间：2020-06-05 06:56:12

解答

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...