Posted by student on September 4, 2007, 4:59 pm We've been working on this for the last few hours, and tried it for a
I've been working on the homework with some classmates this weekend,
and we are all having trouble making progress on question 5. We
would like to apply the rearrangment theorem from baby Rudin to part
a, but can't make a nice sequence out of the doubly infinite sum.
The sequence never "turns the corner," so to speak- whether you sum
along the rows or columns, you never make it past the first
row/column. It occurs to me to try to create a sequence using
diagonals, but I'm not sure how I would write it down, other than in
picture form. For part b, we are still looking for a direction to
proceed, and haven't tried part c as a group yet, though no one was
able to solve that one on their own, either.
while yesterday. (We are actually hoping you will say that you
aren't grading question 5, but that might be too much to ask.)
Besides this question I think we are doing okay. Thanks for whatever
advice you can give.
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