>>13890269There's always two steps when finding a limit:
1. Prove the limit exists
2. Find it's value, given that it exists
But there's nothing stopping you doing it in the opposite order, i.e.:
1. Assuming the limit exists, find the only value it can be
2. Prove that the series achieves that limit
Bullshit like -1/12 basically does the first part and just skips the second, then pretends it's some profound thing.