Series | Proof That the Harmonic Series Diverges

The video tutorial introduces the harmonic series, explaining its definition and historical context, including a proof of its divergence by Nicole Oresme. The instructor provides a detailed proof of divergence, comparing the harmonic series with a smaller series to demonstrate its divergence. The general form of the series is discussed, highlighting that any constant over n results in divergence. The video concludes with applications of the harmonic series, emphasizing its use in the direct comparison test.

What was the historical context of the proof of the harmonic series' divergence?

Describe the relationship between the harmonic series and other series that diverge.

How can any constant number affect the divergence of the harmonic series?