曲线y=(2x-1)e 1/x的斜渐近线方程为_.

问题描述:

曲线y=(2x-1)e 

1
x
的斜渐近线方程为______.

∵limx→∞f(x)x=limx→∞2x−1x•e1x=2      limx→∞[y−2x]=limx→∞[2x(e1x−1)−e1x]=limx→∞[2(e1x−1)1x−e1x]=2limx→∞1x1x−1=1∴y的斜渐近线方程为:y=2x+1...