I'm at a loss on how to solve this particular limit:
lim (1/(x-1))^(ln x)
I have tried doing ln y = ln (1/(x-1))^(ln x)
and then I got to
lim ln x * ln (1/(x-1))
I'm not quite sure how to get out of there. I tried using L'Hopital's rule but I think I must have done something wrong. I would like to know what's the best approach to solve such limits.
Thanks in advance for your help!