# 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:
 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.
 This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported, 2.5 Generic, 2.0 Generic and 1.0 Generic license. You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work). share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.