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

Permission
(Reusing this image)

See below.

[edit] 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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Date/TimeThumbnailDimensionsUserComment
current19:54, 28 October 2007Thumbnail for version as of 19:54, 28 October 2007600×480 (13 KB)Alejo2083 (talk | contribs) ({{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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