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\input{preamble-standalone.ltx}
\begin{document}
% Ex. No. 65 (Section 14.6.1 : Le code)
\begin{tikzpicture}
\tkzInit[xmin=-1,xmax=1,ymin=-1.8,ymax=1.2,xstep=0.1,ystep=0.2]
\tkzGrid
\tkzAxeXY
\tkzFct[samples = 400, line width=4pt, color = red,opacity=.5](-1---1){1/(1+8*\x*\x)}
\tkzFct[smooth,samples = 400, line width=1pt, color = blue,domain =-1:1]%
{1.0+((((((((((((((((((((
8140.04642)*\x
+0.01544)*\x
-32356.67279)*\x
-0.05562)*\x
+54061.87086)*\x
+0.08097)*\x
-49850.83249)*\x
-0.05934)*\x
+28118.29594)*\x
+0.02540)*\x
-10240.01777)*\x
-0.00580)*\x
+2516.04640)*\x
+0.00071)*\x
-444.23476)*\x
-0.00004)*\x
+62.60245)*\x
+0.00000)*\x
-7.99142)*\x
-0.00000)*\x}
\tkzSetUpPoint[size=16,color=black,fill=yellow]
\foreach \v in {-1,-0.8,---.,1}{\tkzDefPointByFct[draw](\v)}
\end{tikzpicture}
\end{document}
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