File:Taylorspolynomialexbig.svg

Summary

it's a plot of the exponential function and its 4th-order Taylor approximation, i.e. Failed to parse (Missing <code>texvc</code> executable. Please see math/README to configure.): <semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>1</mn><mo>+</mo><mi>x</mi><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mn>2</mn></mfrac></mrow><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msup><mn>6</mn></mfrac></mrow><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msup><mn>24</mn></mfrac></mrow></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle 1+x+{\frac {x^{2}}{2}}+{\frac {x^{3}}{6}}+{\frac {x^{4}}{24}}}</annotation></semantics> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9ebcac3f33b663429dbccae912767458e3834f22" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -2.005ex; width:23.63ex; height:5.843ex;" alt="{\displaystyle 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

Licensing

Lua error in package.lua at line 80: module 'strict' not found.