作业帮求极限.....
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/28 00:43:41
求极限.....
求极限.....
求极限.....
分子、分母同乘以[(x-1)^(2/3)+(x-1)^(1/3)+1][(x-1)^(1/2)+1]:
lim[x-->2][(x-1)^(1/3)-1]/[(x-1)^(1/2)-1]
=lim[x-->2][(x-1)-1][(x-1)^(1/2)+1]/{[(x-1)-1][(x-1)^(2/3)+(x-1)^(1/3)+1]}
=lim[x-->2][(x-1)^(1/2)+1]/[(x-1)^(2/3)+(x-1)^(1/3)+1]
=2/3