求极限lim(x→1) (x^1/2-1)/(x^1/3-1) 不会打根号.
问题描述:
求极限lim(x→1) (x^1/2-1)/(x^1/3-1) 不会打根号.
答
lim(x→1) (x^1/2-1)/(x^1/3-1)=lim(x→1) (x^1/2-1)* (x^1/2+1)/ (x^1/2+1)((x^1/3-1)=lim(x→1) (x-1)/ (x^1/2+1)(x^1/3-1)=lim(x→1) (x-1)*(x^2/3+x^1/3+1)/ (x^1/2+1)(x^1/3-1)*(x^2/3+x^1/3+1)/=lim(x→1...