# Bounding Partial Sums of the Harmonic Series

Bounding Partial Sums of the Harmonic Series

To get a lower bound on the partial sum of the harmonic series , replace the sum of the terms +1++2+…++ by ++…+== for each , . This shows that the partial sum of the harmonic series is bounded below by . Move the slider to see the partial sums and this lower bound. Terms of the same color sum to .

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