1. Determine the following limits (if they exist). (2 marks each) a. lim (3x4 + 2x2 - 5) b. lim 4x 20 - 5 x-5 c. lim 2 2 + 2 - 20 8-2x 2. Evaluate the following limits (if they exist). (3 marks each) a. lim 20 2 - x-1 b. lim Vx+16 x -+ 0 c. lim x+64 x-64 3. From first principles (i.e. using the tangent slope method), find the slope of the following curves at the given value of x. (3 marks each) a. f (a) = 2ac2 - 6x at x = 3 b. y = 3x3 +1 atx = -44. Look at the graph below of the derivative f ' (ac). From this, make a sketch of the original function f (m) and of the second derivative f n (:13), and explain your reasoning. (7 marks) 6