12. f (x) = 2x when x

12. f (x) = 2X2 when x < 1 when I x 5 x + c when 5 < x a) Evaluate lim f (x) (6 points) b) Does there exist a value for c such that f is continuous at x = 5? Justify your response. (6 points) c) Does f '(1) exist? (2 points)