Problem 6: (5 Points) Give an example (or prove no such example exists) of a sequence {an}n=1 with an Z for every n> 1 such that: Part 1: For any fixed x R there exists a bijective function f : N N such that af(n) = x. n=1 ~ Part 2: For any fixed x e R there exists a bijective function f :N+N such that the associated Cesaro Sum x bf(n) = 2. n=1 Note: The term bf(n) is a rearrangement of the placement of the bn terms, not their definitions. The bn terms themselves are defined as normal, so regardless of where some bk is moved, it is still aitaztak. In other words, there are no rearrangements of the terms defining the bn, just rearrangements of where the bns themselves are put