Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. Please do questions 16 - 24 EVEN.

16. If f is continuous on [-1, 1] and f(- 1) = 4 and f (1) = 3, then there exists a number r such that | r | 1 for all x and limx of (x) exists, then lim x -of (x) > 1. 19. If f is continuous at a, then f is differentiable at a. 20. If f'(r) exists, then lim,-, f(x) = f(r). 21, d'y dy 2 anomigniwollot ed to ross lader ussiaxel dx 2 dx 22. The equation x10 - 10x2 + 5 = 0 has a root in the ( 13) interval (0, 2). mil (b) 161 mil (3) 23. If f is continuous at a, so is f. 24.) If f is continuous at a, so is f