File:LogTay.svg
From Vigyanwiki
Size of this PNG preview of this SVG file: 600 × 600 pixels. Other resolutions: 240 × 240 pixels | 480 × 480 pixels | 768 × 768 pixels | 1,024 × 1,024 pixels | 2,048 × 2,048 pixels | 1,000 × 1,000 pixels.
Original file (SVG file, nominally 1,000 × 1,000 pixels, file size: 128 KB)
Summary
| Description |
English: The log(x+1) and Taylor approximations of degree 4, 7, 11, 16. Note that, for x > 1, the successive approximations grow worse. العربية: الدالة log(x+1) وتقريبات تايلور من الدرجة 4، 7، 11، 16. التقريبات تكون سيئة من أجل x > 1. |
| Date | |
| Source | Own work |
| Author | Niles |
| SVG genesis |  This plot was created with Gnuplot |
Instructions
Created with gnuplot using the following code
set terminal svg \
size 1000 1000 \
fixed enhanced \
fname 'Times New Roman' \
fsize 32
set output "LogTay.svg"
set samples 2000
set autoscale fix
set xrange [-1.5:1.5]
set yrange [-4:2]
set grid
set xtics .5
set ytics .5
set xzeroaxis linewidth 2.5
set yzeroaxis linewidth 2.5
set key -0.1,1.75
unset border
plot x - x**2/2 + x**3/3 - x**4/4 lw 2 title "T_4", \
x - x**2/2 + x**3/3 - x**4/4 + x**5/5 - x**6/6 + x**7/7 lw 2 title "T_7", \
x - x**2/2 + x**3/3 - x**4/4 + x**5/5 - x**6/6 + x**7/7 -x**8/8 + \
x**9/9 - x**10/10 + x**11/11 lw 2 title "T_{11}", \
x - x**2/2 + x**3/3 - x**4/4 + x**5/5 - x**6/6 + x**7/7 -x**8/8 + \
x**9/9 - x**10/10 + x**11/11 - x**12/12 + x**13/13-x**14/14 + \
x**15/15 - x**16/16 lw 2 title "T_{16}", \
log(1+x) lw 3 lt 7
Licensing
|
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
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 04:57, 1 December 2009 | | 1,000 × 1,000 (128 KB) | wikimediacommons>Plasticspork | Increased fontsize |
File usage
The following page uses this file:
