如下∶曲线f（x）=｜x｜e^（-1/x）的渐近线有几条,

Question

如下∶曲线f（x）=｜x｜e^（-1/x）的渐近线有几条,

Answer 1

lim(x->0-) |x|e^(-1/x) = +∞
x = 0是垂直渐近线
lim(x->-∞) [|x|e^(-1/x) - (-x+1)] = 0
y = -x+1是斜渐近线
所以有两条渐近线.