1. Let (Jn) be a nested sequence of open intervals: J2 J2 2 J3 2.... Is J, always nonempty? If your answer is yes, give a proof; if your answer is no, give a counterexample. (Hint: consider an exercise from the last homework.) n=1 2. Let (Jn) be a strictly shrinking nested sequence of open intervals. i.e. Jn = (an, bn), an