# Proof Without Words: The Alternating Harmonic Series Sums to ln 2

@article{Hudelson2010ProofWW, title={Proof Without Words: The Alternating Harmonic Series Sums to ln 2}, author={Matthew Hudelson}, journal={Mathematics Magazine}, year={2010}, volume={83}, pages={294 - 294} }

Summary We demonstrate graphically the result that the alternating harmonic series sums to the natural logarithm of two. This is accomplished through a sequence of strategic replacements of rectangles with others of lesser area. In the limit, we obtain the region beneath the curve y = 1/x and above the x-axis between the values of one and two.

#### 6 Citations

“Sum” Visual Rearrangements of the Alternating Harmonic Series

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In the frequency domain, the nearly constant loss, is characterized by a slope 1 in log of the real part of the electrical conductivity vs log frequency plots. It can be explained by an anomalous… Expand