I would like to know if I did these the correct way. 1. The problem statement, all variables and given/known data 1.lim x->0 (1/sin 2x)-1/2x. the answer is 0. 2.lim x->0 (x^-5*ln x). The answer is -infinity. 2. Relevant equations 1.I used L'Hopitals theorem 2.I derived them, than L'hopitals. 3. The attempt at a solution 1.I only derived only the denominators for it to become (1/2cos2x)-(1/2), apply the 0 and it is (1/2)-(1/2)=0 2.f'(x) (-5x^-6)(1/x). L'hopital's, f''(x) (30/x^7)or(30x^-7) since the exponent is negative, is this the reason the answer is negative infinity?