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-rw-r--r--Build/source/utils/asymptote/examples/limit.asy28
1 files changed, 28 insertions, 0 deletions
diff --git a/Build/source/utils/asymptote/examples/limit.asy b/Build/source/utils/asymptote/examples/limit.asy
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+++ b/Build/source/utils/asymptote/examples/limit.asy
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+size(200,200,IgnoreAspect);
+import graph;
+
+real L=1;
+real epsilon=0.25;
+
+real a(int n) {return L+1/n;}
+
+for(int i=1; i < 20; ++i)
+ dot((i,a(i)));
+
+real N=1/epsilon;
+
+xaxis(Label("$n$",align=2S));
+yaxis(Label("$a_n$",0.85));
+
+xtick("$2$",2);
+ytick("$\frac{3}{2}$",3/2);
+ytick("$2$",2);
+
+yequals(Label("$L$",0,up),L,extend=true,blue);
+yequals(Label("$L+\epsilon$",1,NW),L+epsilon,extend=true,red+dashed);
+yequals(Label("$L-\epsilon$",1,SW),L-epsilon,extend=true,red+dashed);
+
+xequals(N,extend=true,darkgreen+dashed);
+labelx(shift(0,-10)*"$N=\frac{1}{\epsilon}$",N,E,darkgreen);
+
+label("$a_n=1+\frac{1}{n},\quad \epsilon=\frac{1}{4}$",point((0,1)),10S+E);