Question

How do you find the asymptotes for `y=x*ln[e + (1/x)]`?

Answer 1

Asymptote at `x=-1/e,0`

Explanation:

There is an asymptote at `x=0` because at this point the function is undefined as `1/0` is undefined. There is also an asymptote at

`e+1/x=0` as the `ln` function is undefined at `0`

`e+1/x=0 , ex+1=0 , ex=-1 x=-1/e`