File:Ln series positive real.svg
Original file (SVG file, nominally 750 × 500 pixels, file size: 9 KB)
Captions
Summary
[edit]DescriptionLn series positive real.svg |
English: Convergence of the series
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Date | |
Source | Own work |
Author | Marcel Marnitz, completely reworked by Georg-Johann |
- Original Version was created with GeoGebra
- Actual Version:
Licensing
[edit]Public domainPublic domainfalsefalse |
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 15:34, 22 August 2010 | 750 × 500 (9 KB) | Georg-Johann (talk | contribs) | fix ln | |
15:13, 22 August 2010 | 750 × 500 (9 KB) | Georg-Johann (talk | contribs) | better splines | ||
00:07, 21 August 2010 | 750 × 500 (10 KB) | Georg-Johann (talk | contribs) | set encoding to uft-8 | ||
23:43, 20 August 2010 | 750 × 500 (10 KB) | Georg-Johann (talk | contribs) | fixed tspan-problem | ||
23:40, 20 August 2010 | 750 × 500 (10 KB) | Georg-Johann (talk | contribs) | Completely reworked: higher precision and cubic béziers instead of poylines, better readability of labels, added legends, added comments in SVG | ||
13:36, 7 February 2009 | 1,468 × 1,310 (118 KB) | Mongol de (talk | contribs) | {{Information |Description={{en|1=Convergence of the series <math>\sum_{k=0}^n \frac{2}{2k+1}\left(\frac{x-1}{x+1}\right)^{2k+1}</math> towards <math>\ln(x)</math> with an increasing number of terms <math>n</math>.}} |Source=http://commons.wikimedia.org/w |
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Short title | ln-Convergence |
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Image title |
This is the file http://commons.wikimedia.org/wiki/File:Ln_series_positive_real.svg Convergence of the series \sum_{k=0}^{n-1} \frac{2}{2k+1} (\frac{x-1}{x+1})^{2k+1} towards ln(x) with an increasing number of terms n. |