Problems x + 2 if x

Discuss limit, one-sided limits, and continuity of f@) at 2. (20 points) The graphs of the functions f and g are given below. For each graph, circle the true statement for the values of one-sided derivatives. y =f(x) 1. Let f@) = 1. y = x2 x 1 x Problems if < 1 if 1 < O if = O if O < x < 1 if > 1 P(0, 0) (a) f'(O) = O and f' (O = O and f' (O (c) f'(O) = 1 and f' (O = O and f' (O x 2 1 3. (20 points) Let f@) = x3 4x+2. Find an equation for the tangent to the curve of f at the point (1 1). 1 cos2 e 4. Compute the limit lim 9+0