<p>You can solve this problem by using L’Hopital’s rule. If you plug in 1 for ln x and x-1, you get 0/0 (which is undeterminate). L’Hopital’s rule says that you can find the derivative of the top and the bottom and then plug in the limit. So, the derivative of ln x is 1/x and the derivative of x-1 is simply 1. So, now we have to find the limit of x/1 as x approaches 1. Plug in 1 for x and you get 1.</p>