Sequences of functions

The underlying JavaScript code

<jsxgraph width="600" height="400" box="box">
var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
brd.suspendUpdate();
var n = brd.create('slider',[[0.1,1.5],[1.1,1.5],[1,1,100]],{name:'n',snapWidth:1});
var f = function(x){ return Math.pow(x,n.Value()); }
var plot = brd.create('functiongraph',[f,0,1], {strokeWidth:2});
brd.createElement('text',[0.2,0.7,function(){return 'f(x)=x<sup>'+Math.floor(n.Value())+'</sup>';}],
  {fontSize:'20px'});
brd.unsuspendUpdate();
</jsxgraph>

<jsxgraph width="650" height="400" box="box2">
var brd2 = JXG.JSXGraph.initBoard('box2', {axis:true, boundingbox:[-0.25,1.7,1.25,-0.5]});
brd2.suspendUpdate();
var n2 = brd2.create('slider',[[0.1,1.5],[1.1,1.5],[1,1,100]],{name:'n',snapWidth:1});
var f2 = function(x){ return x*x/n2.Value(); }
var plot2 = brd2.create('functiongraph',[f2,0,1], {strokeWidth:2});
brd2.createElement('text',[0.2,0.7,function(){return 'f(x)=x<sup>2</sup>/'+n2.Value().toFixed(0);}],
  {fontSize:'20px'});
brd2.unsuspendUpdate();
</jsxgraph>