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
的斜渐近线方程为______. 1 x
答
∵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...