lim(x→1) sin（x^3-1）/x^2-1 求极限不要用罗比达法则
问题描述：
lim(x→1) sin（x^3-1）/x^2-1 求极限不要用罗比达法则
答
sin(x^3-1)～x^3-1 则limsin(x^3-1)/(x^2-1) =lim(x^3-1)/(x^2-1) =lim(x-1)(x^2+x+1)/[(x-1)(x+1)] =lim(x^2+x+1)/(x+1) =(1^2+1+1)/(1+1) =3/2