cours/bts/bts2e/fonction variable reelle/sequence 1 - etude de fonction: rappels derivation et limites/cours - etude de fonction - 2023.1/images/fig5.asy

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// préambule asymptote
usepackage("amsmath,amssymb");
usepackage("inputenc","utf8");
usepackage("icomma");
import lib_jl;
unitsize(0.5cm,0.125cm);
xlimits(-3,6);
ylimits(-20,20);
xaxis(BottomTop,xmin=-3,xmax=6,Ticks("%",extend=true,Step=1),p=linewidth(1pt)+gray(.8)+dotted);
yaxis(LeftRight,ymin=-20,ymax=20,Ticks("%",extend=true,Step=1),p=linewidth(1pt)+gray(.8)+dotted);
real F(real x) {return 2/(x-3)+5;}
draw(graph(F,-4,2.999999,n=400),linewidth(1.5pt)+black+solid);
real G(real x) {return 2/(x-3)+5;}
draw(graph(G,3.000001,6,n=400),linewidth(1.5pt)+black+solid);
point pA=(3,-10), pB=(3,10);
draw(line(pA,pB),linewidth(1.5pt)+red+dashed);
label(rotate(90)*"$\boldsymbol{x=3}$", (3,-10)+.5, fontsize(8pt)+red);
point pA=(-3,5), pB=(3,5);
draw(line(pA,pB),linewidth(1.5pt)+heavygreen+dashed);
label("$\boldsymbol{y=5}$", (-2,6), fontsize(8pt)+heavygreen);
xlimits(-3,6,Crop);
ylimits(-20,20,Crop);
xaxis(axis=YEquals(0),xmin=-3,xmax=6,Ticks(scale(.4)*Label(),beginlabel=true,endlabel=true,begin=true,end=true,NoZero,Step=1,Size=1mm),p=linewidth(1pt)+black,Arrow(2mm),true);
yaxis(axis=XEquals(0),ymin=-20,ymax=20,Ticks(scale(.4)*Label(),beginlabel=true,endlabel=true,begin=true,end=true,NoZero,Step=10,Size=1mm),p=linewidth(1pt)+black,Arrow(2mm),true);
shipout(bbox(0.1cm,0.1cm,white));