log 0 and log x are both infinite so we can use L'hopital's rule.
so we have
which simplifies to
since this is 0/0 we can use l'Hopital's rule again":
Edit: an angel found my mistake here and I have now fixed it
so we have
which simplifies to
-> 1
Thanks for pointing that out angel-white. I guess there must be some other mistake in there also to make the answer come out right.
I'm new here, so could someone tell me for future reference: If somebody finds a mistake you made is it good or bad to edit your post and fix it?