limx-->0 (sinx/x)=1? 1. The problem statement, all variables and given/known data Hi I have the question evaluate the limit going to zero of (cos(x)-1)/sin(x2) 2. Relevant equations 3. The attempt at a solution lim x→0 (cos(x)-1)/sin(x2) goes to 0/0 by Lhoptal's f'(x)/g'(x) = (limx→0 sinx/x)(limx→0 -1/ 2cos(x2)) but the answer I have says that (limx→0 sinx/x) = 1 how is this so I know the other term goes to -1/2 but yeah I'm really confused about the sin term going to 1 is this a mistake or is there something i don't know? thanks.