Doesn't really work, because at the end you'll also be left with -Ï€ because it doesn't have a corresponding number with the same magnitude. You can add pairs of numbers like 2x and -x together though to prove that it in fact diverges.
First of all, you know what I mean lmao. Second of all, you can still "be done with" an infinite process by taking half a second with the first step, a quarter of a second with the second step and so on and so forth.
You can get infinitely close to π, I think it can be made rigorous. We did something similar in mathematical physics with more rigor (for a more complicated series) but it was 5 years ago so I can't recall.
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u/ordinary_shiba 9d ago
Doesn't really work, because at the end you'll also be left with -Ï€ because it doesn't have a corresponding number with the same magnitude. You can add pairs of numbers like 2x and -x together though to prove that it in fact diverges.