Consider the 2D region:
|...|1 1 1 1 1|1 1 1 1 -1|1 1 1 -1 -1|1 1 -1 -1 -1|1 -1 -1 -1 -1 ...+---------Ie, we have a "diamond" of 1s:
|...|* * * * *|* * *|* * *|* *|*+---------- If we add up each of the x axes first, we see that it adds up to
-infinity, so then when we add up the sums, we get-infinity. - On the other hand, each of the y axes has infinitey many
*s (1s) if we start adding from the bottom, so they will "wash over" the finite number of blank spaces (-1s), meaning that each y axis