1. Evaluate the following limits. Be sure to note any use of l'hopital's rule and use proper mathematical notation. X 1 - x + Inx a. lim b. lim x - 0 tan (7x) x - 1 1 + cos(3 TIX) 2. Determine whether the following integral converges or diverges. Be sure to use proper mathematical notation and state your conclusions clearly. X dx ( x 2 + 9 ) 2 3. Find a simplified, definite integral that represents the area of the surface obtained by revolving the curve x=v+y', Osys 1 about the y-axis. You do not need to evaluate the integral