@mes's thread

Harmonic Series: Proving it diverges via an ingenious method

In this video, I show that the harmonic series, 1 + 1/2 + 1/3 + 1/4 + ..., diverges by showing its even power partial sums are greater than a similar but smaller series involving repeating 1/2 terms. This is a very clever derivation, and it was due to the French scholar Nicole Oresme from the 14th century.

#math #calculus #series #harmonicseries #education