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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


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