I need help with these questions

2. Evaluate the following limits by applying L'Hopital's Rule. (Be sure to show WHY you know you can) A) lim In x B) lim 4x--5x x-+00 X X -+00 X-3x2 C) lim X2 +3 lim X -00 D) x-+00 2x+1 3. Evaluate the limit from the movie "Mean Girls": lim In(1-x)-sin x X-0 1-cos2 x (Show clip after)4. Evaluate the following indeterminate limits by rewriting and/or introducing logarithms: B) lim sin x ) D) lim, xx x-0+1. Use Newton's method to find the negative root of y = x2 - 3x - 3 (from Ex #1). 2. Use Newton's method to find the 3"d approximation to the root (to 4 decimal places) for: y = x3 -2x - 5, where xo = 2. 3. Use Newton's method to find the 3d approximation to the root (to 4 decimal places) for: y = cos x - x, where xo = 1. *(Don't forget that 1 will be in Radians, so change your calculator!)