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File:Taylorspolynomialexbig.svg

Summary

Description it's a plot of the exponential function and its 4th-order Taylor approximation, i.e. 1+x+\frac{x^2}{2}+\frac{x^3}{6}+\frac{x^4}{24}. I have made it with Gnuplot, using the following code:
# set the output
set terminal svg enhanced fname "Times" fsize 18
set output "Taylorspolynomialexbig.svg"

# axis properties
set xrange [-4:4]
set yrange [-1:20]
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set xlabel "x"
set key 0.15,19

plot exp(x) ti "exp(x)" with lines linewidth 3,\
     1+x+(x**2)/2+(x**3)/6++(x**4)/24 ti "4th order Taylor" with lines linewidth 3


Then I have post-processed it with Inkscape
Date October 2007
Source Own work
Author Alessio Damato

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head 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.

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