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+import graph;
+size(300,150,IgnoreAspect);
+
+real f(real x) {return 1/x^(1.1);}
+pair F(real x) {return (x,f(x));}
+
+dotfactor=7;
+
+void subinterval(real a, real b)
+{
+ path g=box((a,0),(b,f(b)));
+ filldraw(g,lightgray);
+ draw(box((a,f(a)),(b,0)));
+}
+
+int a=1, b=9;
+
+xaxis("$x$",0,b);
+yaxis("$y$",0);
+
+draw(graph(f,a,b,operator ..),red);
+
+int n=2;
+
+for(int i=a; i <= b; ++i) {
+ if(i < b) subinterval(i,i+1);
+ if(i <= n) labelx(i);
+ dot(F(i));
+}
+
+int i=n;
+labelx("$\ldots$",++i);
+labelx("$k$",++i);
+labelx("$k+1$",++i);
+labelx("$\ldots$",++i);
+
+arrow("$f(x)$",F(i-1.5),NE,1.5cm,red,Margin(0,0.5));
+