3. Suppose that f : (0, co) - R is differentiable. Is each of the following claims true or false? If it is false, show it with a counterexample. If it is true, prove it. Hint: you may want to use Mean Value Theorem and L'Hopital's Rule in this problem. (a) If lim f'(x) = 1, then lim f(x) = 00. T-+00 1-+00 Final Answer This claim is TRUE FALSE