LogTay.svg
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Summary
Description LogTay.svg |
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 |
Permission
( Reusing this file ) |
Public domain |
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
Public domain Public domain false false |
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. |