(a) Suppose that {anlneo is a convergent sequence and all of the numbers on are in the interval [0,1]. Show that the limit lim on is also in [0, 1]. TilPOO (5)) Find a convergent sequence of points {on} all in (0, 1) such that lim an, is not in (0:1)- SUGGESTION: In part (a) it might be easiest to argue by contradiction. That is, assume that the limit L is outside [0, 1] and show how this leads to a contradiction. In organizing your argument, it may also help to consider the cases L > 1 and L