# Power series for the exponential function

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### The underlying JavaScript code

<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script>
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>

// Board
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 250, unitX: 50, unitY: 10});
board1.suspendUpdate();
// Axes and Properties
board1.createElement('axis', [[0,0], [1,0]], {});
board1.createElement('axis', [[0,0], [0,1]], {});
//
board1.createElement('functiongraph',
[function(t){ return Math.exp(t); }, -10, 10],
{strokeColor: "#cccccc"});
var s = board1.createElement('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S'});
board1.createElement('text',[-4,10, function() {
return 'n='+Math.floor(s.X());
},
]);
board1.createElement('text',[-4,8, function() {
var val = 0;
for(var i=0;i<= Math.floor(s.X()); i++) {
val+= 1.0/board1.factorial(i);
}
return 'e~'+board1.round(val,10);
},
]);
board1.createElement('functiongraph', [
function(t) {
var val = 0;
for(var i=0;i<= Math.floor(s.X()); i++) {
val+= Math.pow(t,i)/board1.factorial(i);
}
return val;
},
-10, 10], {strokeColor: "#bb0000", curveType:'plot'});
board1.unsuspendUpdate();