1. The problem statement, all variables and given/known data lim (sin x - x)/x as x--> 0 2. Relevant equations 3. The attempt at a solution I used L'hopitals rule 3 times and got -1/6, but there is actually an asymptote at x = 0 so the limit should approach infinity or -infinity (in this case -infinity) Where did I go wrong? Is it because I used l'hopitals rule too many times or inappropriately?