y=(3x^2-1)/(x+1)e^（2/x）的斜渐近线
问题描述：
y=(3x^2-1)/(x+1)e^（2/x）的斜渐近线
答
设渐近线方程：y=kx+b则k=lim(x→∞)[(3x²-1)/(x-1)][e^(2/x)]/x=lim(x→∞)[(3x²-1)e^(2/x)]/[x(x-1)]=lim(x→∞)[(3-1/x²)e^(2/x)]/(1-1/x)=[(3-0)e^0]/(1-0)=3故b=lim(x→∞)(y-kx)=lim(x→∞)[(3...