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.

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