diff options
Diffstat (limited to 'Build/source/utils/asymptote/examples/limit.asy')
-rw-r--r-- | Build/source/utils/asymptote/examples/limit.asy | 28 |
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 new file mode 100644 index 00000000000..ef71928941e --- /dev/null +++ b/Build/source/utils/asymptote/examples/limit.asy @@ -0,0 +1,28 @@ +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); |