9) A function is uniformly continuous on a set I C R if a) for some e > 0 we can find a 6 > 0 such that if x, y 1 and 6, then I b) for any e > 0 we can find a > 0 such that if x, y e I and I x y 5, then I f (x) c) for any > 0 and any > 0, if x, y 1 and x y 5, then I f (x) f (y) E. f(y) e. f(y) e. d) None of the above. 14) If a function is differentiable at x = a, then a) lim exists. b) lim exists. c) lim exists. d) All of the above. 18) Let Which of the following statements is true? is not continuous at x = 0. ifxeR\Q, b) d) f is continuous at x = 0, but not differentiable at x = 0. f is continuous and differentiable at a: = 0 with f'(0) = 0 but it is not differentiable at x = 2. f is differentiable everywhere with f' (x) = if x is rational and f' (x) 2:c if x is rational.