求曲线y=2*(x-2)*(x-3)/(x-1)的斜渐近线方程
问题描述:
求曲线y=2*(x-2)*(x-3)/(x-1)的斜渐近线方程
答
∵lim(x→∞)(y/x)=lim(x→∞){2(x-2)(x-3)/[x(x-1)]}=2lim(x→∞)[(1-2/x)(1-3/x)/(1-1/x)]=2×[(1-0)(1-0)/(1-0)]=2,∴a=2.∵lim(x→∞)(y-ax)=lim(x→∞)[2(x-...