Find the limit. Use I'Hopital's Rule where appropriate. If there is a simpler method, consider using it. If I'Hopital's Rule doesn't apply explain why. 1. lim *2-2x-8 x+4 x-4 2. lim 25-2x2+1 x-1 x3-1 3. lim In(x) X-00 4. lim x sin *) *+00 5. lim (4x + 1) cot(x)Find the derivatives of the following. 1. f(x) = 4x3 + 5x2 - 7x 2. h(x) = 2x*+7x x2 3. y = x2/3 + 2x5/4 4. Find the equation of the tangent line to the curve f(x) = x2 - vx at the point where x = 4. 5. f(x) = (4x2 - 5x + 9) tan(x) 6. f(x) = (x2 + 1)4 4x 7. h (x) = X