Vertical asymptotes question?

Question

What are the vertical asymptotes of the graph of f(x) = ln|x| / (x-1)

Options:
--x = 0
--x = 1
--x = 0 and x = 1
--There are none

Answer 1

x = 0 is a vertical asymptote
x = 1 is undefined, but there's only a hole, not an asymptote, since lim(x→1) f(x) = 1 (by l'Hopital, 1/x / 1 = 1 as x→1)

Answer 2

Hi,
the answer is x=o and x=1
All the best,
Mika