File:Sum1111Asymptote.svg

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Summary

The asymptotic behavior of the divergent series <a href="https://en.wikipedia.org/wiki/1_%2B_1_%2B_1%2B_1_%2B_%E2%8B%AF" class="extiw" title="w:1 + 1 + 1+ 1 + ⋯">1 + 1 + 1 + 1 + ⋯</a> after smoothing. The green line is the asymptote of the blue curve in <a href="//commons.wikimedia.org/wiki/File:Sum1111Smoothed.svg" title="File:Sum1111Smoothed.svg">Sum1111Smoothed.svg</a>. Its y-intercept is -1/2, which is the regularized sum of the series.

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File history

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Date/TimeThumbnailDimensionsUserComment
current14:29, 12 January 2017Thumbnail for version as of 14:29, 12 January 2017600 × 600 (7 KB)127.0.0.1 (talk)The asymptotic behavior of the divergent series <a href="https://en.wikipedia.org/wiki/1_%2B_1_%2B_1%2B_1_%2B_%E2%8B%AF" class="extiw" title="w:1 + 1 + 1+ 1 + ⋯">1 + 1 + 1 + 1 + ⋯</a> after smoothing. The green line is the asymptote of the blue curve in <a href="//commons.wikimedia.org/wiki/File:Sum1111Smoothed.svg" title="File:Sum1111Smoothed.svg">Sum1111Smoothed.svg</a>. Its y-intercept is -1/2, which is the regularized sum of the series.
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