Hey there!

I'm at a loss on how to solve this particular limit:

lim (1/(x-1))^(ln x)

x-> 1+

I have tried doing ln y = ln (1/(x-1))^(ln x)

and then I got to

lim ln x * ln (1/(x-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!