415 Harmonic series
by EngliSea on 2020-07-21
ᐥ「1/n Σn=1,∞」 divergesᐥ
「1/n Σn=1,∞」
= 1/1 + 1/2 + (1/3+1/4) + (1/5+1/6+1/7+1/8) + ...
> 1/1 + 1/2 + (1/4+1/4) + (1/8+1/8+1/8+1/8) + ...
= 1 + 1/2 + 1/2 + 1/2 + ...
= ∞