1. The problem statement, all variables and given/known data Find the limit, using L'Hospital's rule, if appropriate. lim lnxtan(pix/2) x->1^+ 2. Relevant equations 3. The attempt at a solution http://imgur.com/gbhQutU I've done this question and gotten the correct answer by making lnx the numerator and 1/tan(pix/2) the denominator, but get the wrong answer when I make tan(pix/2) the numerator and 1/lnx the denominator. Is this because you cannot have -infinity/infinity? My solution is posted, and any help on where I went wrong or what steps to take would be very helpful.