I hope this makes it more obvious that you can get any number from a diverging sequence if you rearrange it enough.
wanna see some cursed math?
people are always saying that 1+2+3+4+5+6+7+... is equal to -1/12. that's stupid. why would adding positive numbers add up to a negative? so i decided to take matters in my own hands.
The sum of all natural numbers is 1.
(added some random stuff to make it even harder to understand)
the sum (as n starts from 1 and approaches infinity) of 3n-1
= 2+5+8+11+14+17+20+... = infinity
the sum (as n starts from 1 and approaches infinity) of 2n
= 2+4+6+8+10+12+14+... = infinity
these sums are the same. so we divide both sides by
∞
Σ
n=1
to get 3n-1= 2n, so n=1