Question

For what values of x, if any, does `f(x) = x/(e^x-xe^(2x))` have vertical asymptotes?

Answer 1

Vertical asymptotes would be given by the equation `1/x-e^x =0` on solving for x.

Explanation:

Write f(x) = `1/ ((e^x -xe^2x)/x`. Vertical asymptotes would be given by `(e^x -xe^(2x))/x=0`

`e^x ( 1/x-e^x)=0`

Solving `1/x - e^x =0` would give vertical asymptotes