You can’t sum an infinite series that doesn’t converge. If you pretend you can, you get nonsense.
Almost. If you are careful about which series you pretend you can sum you can get meaningful results. Cesaro summation is the most obvious one. But this is to some extent a nitpick and your essential point is sound.
Almost. If you are careful about which series you pretend you can sum you can get meaningful results. Cesaro summation is the most obvious one. But this is to some extent a nitpick and your essential point is sound.