lim(1-x的3次方)除以(3的根号下x-1)的极限X趋近于1的极限

问题描述:

lim(1-x的3次方)除以(3的根号下x-1)的极限X趋近于1的极限

分母是x开三次方吧?lim (1-x³)/[x^(1/3)-1]分子:1-x³=(1-x)(1+x+x²)然后分子分母同乘以[x^(2/3)+x^(1/3)+1]此时分子变成:(1-x)(1+x+x²)[x^(2/3)+x^(1/3)+1]分母变成:[x^(1/3)-1][x^(2/3)+x^(...