View source for Power series for the exponential function

<jsxgraph width="600" height="400" box="jxgbox1">
board1 = JXG.JSXGraph.initBoard('jxgbox1', {boundingbox: [-6, 25, 6, -15], axis: true});
board1.suspendUpdate();

board1.create('functiongraph', 
    [function(t){ return Math.exp(t); },-10, 10],
    {strokeColor: "#cccccc"});

var s = board1.create('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1});
board1.create('text',[-4,10, function() {
		return 'n='+s.Value();
	}
     ]);
board1.create('text',[-4,8, function() {
		var val = 0, i, sv = s.Value()+1;
		for(i = 0; i < sv; i++) {
   			val+= 1.0/JXG.Math.factorial(i);
		}
		return 'e~'+(val).toFixed(10);
	}
     ]);

board1.create('functiongraph', [
	function(t) {
		var val = 0, i, sv = s.Value()+1;
		for(i = 0; i < sv; i++) {
   			val+= Math.pow(t,i)/JXG.Math.factorial(i);
		}
		return val;
	},
-10, 10], {strokeColor: "#bb0000", curveType:'plot'});
board1.unsuspendUpdate();
</jsxgraph> 

=== References ===
* [http://en.wikipedia.org/wiki/Exponential_function http://en.wikipedia.org/wiki/Exponential_function]

=== The underlying JavaScript code ===

<source lang="javascript">
board1 = JXG.JSXGraph.initBoard('jxgbox1', {boundingbox: [-6, 25, 6, -15], axis: true});
board1.suspendUpdate();

board1.create('functiongraph', 
    [function(t){ return Math.exp(t); },-10, 10],
    {strokeColor: "#cccccc"});

var s = board1.create('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1});
board1.create('text',[-4,10, function() {
		return 'n='+s.Value();
	}
     ]);
board1.create('text',[-4,8, function() {
		var val = 0, i, sv = s.Value()+1;
		for(i = 0; i < sv; i++) {
   			val+= 1.0/JXG.Math.factorial(i);
		}
		return 'e~'+(val).toFixed(10);
	}
     ]);

board1.create('functiongraph', [
	function(t) {
		var val = 0, i, sv = s.Value()+1;
		for(i = 0; i < sv; i++) {
   			val+= Math.pow(t,i)/JXG.Math.factorial(i);
		}
		return val;
	},
-10, 10], {strokeColor: "#bb0000", curveType:'plot'});
board1.unsuspendUpdate();
</source>


[[Category:Examples]]
[[Category:Calculus]]