Problem #3: Which of the following statements are always true? [2 marks] (i) If f(3) 0, and f is continuous on [3, 4], then there is a number c in (3, 4) such that f (c) = 0. (ii) If f is continuous at x = 3 and f(3) = 4 then lim f(x) = 4. *- 3 (iii) If f is continuous at x = 3 then f is differentiable at x = 3. (A) (i) and (ii) only (B) (ii) only (C) (i) and (iii) only (D) none of them (E) (iii) only (F) all of them (G) (i) only (H) (ii) and (iii) only Problem # 3: Select V Save Problem #4: Which of the following functions are continuous on (-00, co)? [2 marks 25x - 1 (i) f(x) x *0 * = 0 (ii) f(x) = 5x+ 6 x >0 75+e3x x