Interleaving isn’t really the right way of getting consistent results for summations. Formal methods like Cesaro Summation are the better way of doing things, and give the result 1⁄2 for that series. There’s a pretty good overview on this wiki article about summing 1-2+3-4.. .
Interleaving isn’t really the right way of getting consistent results for summations. Formal methods like Cesaro Summation are the better way of doing things, and give the result 1⁄2 for that series. There’s a pretty good overview on this wiki article about summing 1-2+3-4.. .