1. If f(x) = 3x2 - nx - 3.2, determine f' (x) using the defintion of derivative. 2. Determine if the following limits exist and if they do, evaluate them. 12x - 17, x 1 (b) lim x + 5 x--5 x2 + 2x - 15 (c) lim Vx - 4 x->16 x - 16 4- x2 7 (d) lim x-2 x +3 x - 2 x - 7 (e) lim x-7 x2 + 3x +4 3. Let f (x) = (x+2)(x -3)(x -7)2. Determine intervals for which f(x) > 0 and f (x)