File:Taylorspolynomialexbig.svg

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Taylorspolynomialexbig.svg(SVG file, nominally 600 × 480 pixels, file size: 13 KB)

[edit] 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(2007-10)
Source Own work
Author Alessio Damato

[edit] Licensing

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Date/TimeThumbnailDimensionsUserComment
current19:54, 28 October 2007Thumbnail for version as of 19:54, 28 October 2007600 × 480 (13 KB)Alejo2083 ({{Information |Description=it's a plot of the exponential function and its 4th-order Taylor approximation, i.e. <math>1+x+\frac{x^2}{2}+\frac{x^3}{6}+\frac{x^4}{24}</math>. I have made it with Gnuplot, using the following code: <source> # set the output s)
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