（3根号x-1）/（根号x-1）当x趋向于1时的极值不对是（3*根号x-1）除于（根号x-1)当x趋向于1的极限

Question

（3根号x-1）/（根号x-1）当x趋向于1时的极值
不对 是（3*根号x-1）除于（根号x-1)当x趋向于1的极限

Answer 1

lim(3次根号x-1)/(二次根号x-1)
x→0
=lim(3√x-1)(√x+1)[(3√x)²+(3√x)+1]/(√x-1)(√x+1)[(3√x)²+(3√x)+1]
x→0
=lim(x-1)(√x+1)/(x-1)[(3√x)²+(3√x)+1]
x→0
=lim(√x+1)/[(3√x)²+(3√x)+1]
x→0
=2/3
3√x 表示3次根号下x