求曲线的斜渐近线方程,曲线为x=t^3+3t+1,y=x^3-3t+1

Question

求曲线的斜渐近线方程,曲线为x=t^3+3t+1,y=x^3-3t+1

Answer 1

只有当t-->∞时,x-->∞
k=lim(x-->∞) y/x=lim(t->∞) (t^3-3t+1)/(t^3+3t+1)=1
b=lim(x-->∞)(y-kx)=lim(t-->∞)(-6t)=∞
因此不存在斜渐近线.