File:Ln series positive real.png
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Summary
editDescriptionLn series positive real.png |
English: Convergence of the series towards with an increasing number of terms . |
Date | |
Source | Screen shot of own work using the GFDL program Graph. |
Author | Kim Hansen |
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Instructions
editThe following Graph file can be used to generate the image.
;This file was created by Graph (http://www.padowan.dk) ;Do not change this file from other programs. [Graph] Version = 4.2.0.332 MinVersion = 2.5 OS = Windows XP 5.1 Service Pack 2 [Axes] xMin = -1 xMax = 11 xTickUnit = 1 xGridUnit = 1 xShowGrid = 1 xAutoTick = 0 xAutoGrid = 0 yMin = -5 yMax = 3 yTickUnit = 1 yGridUnit = 1 yShowGrid = 1 yAutoTick = 0 yAutoGrid = 0 AxesColor = clBlack GridColor = clMedGray NumberFont = Times New Roman,20,clBlack LabelFont = Times New Roman,20,clBlack,I LegendFont = Times New Roman,20,clBlack ShowLegend = 1 Radian = 1 LegendPlacement = 0 LegendPos = 9.11023622047244,-1.00723327305606 [Func1] FuncType = 0 y = ln(x) LegendText = ln(x) From = 0.001 To = 11 Steps = 1 Color = clRed Size = 4 [Func2] FuncType = 0 y = 2*(x-1)/(x+1)+2/3*((x-1)/(x+3))^3+2/5*((x-1)/(x+1))^5+2/7*((x-1)/(x+1))^7+2/9*((x-1)/(x+1))^9+2/11*((x-1)/(x+1))^11+2/13*((x-1)/(x+1))^13+2/15*((x-1)/(x+1))^15+2/17*((x-1)/(x+1))^17+2/19*((x-1)/(x+1))^19 LegendText = n=10 From = -1 To = 11 Color = clNavy Size = 2 [Func3] FuncType = 0 y = 2*(x-1)/(x+1)+2/3*((x-1)/(x+3))^3+2/5*((x-1)/(x+1))^5 LegendText = n=3 From = -1 To = 11 Color = clOlive Size = 2 [Func4] FuncType = 0 y = 2*(x-1)/(x+1)+2/3*((x-1)/(x+3))^3 LegendText = n=2 From = -1 To = 11 Steps = 1 Color = clGreen Size = 2 [Func5] FuncType = 0 y = 2*(x-1)/(x+1) LegendText = n=1 From = -1 To = 11 Color = clMaroon Size = 2 [Data] TextLabelCount = 0 FuncCount = 5 PointSeriesCount = 0 ShadeCount = 0 RelationCount = 0 OleObjectCount = 0
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editI, the copyright holder of this work, hereby publish it under the following licenses:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | ||
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This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 22:16, 2 February 2007 | 889 × 553 (9 KB) | Slaunger (talk | contribs) | {{Information |Description={{en: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=Screen shot of own work using |
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