View source for Convergence of series

Compute partial sums of the series
<math> \sum_{n=0}^\infty a_n</math>.
<html>
<p>
nth-element of the series: <input type="text" id="input" value="1 / n">
<input type="button" value="start" onClick="start_approx()">
<input type="button" value="stop" onClick="clear_all()">
</html>
<jsxgraph width="500" height="500" box="box">
 var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-3, 8, 50, -8]});
 var series = board.create('curve', [[0], [1]], {strokeColor: 'black'});
 
 var series_add = function() {
    var n = series.dataX.length,
        val = series.dataY[n - 1] + a_n(n);
    series.dataX.push(n);
    series.dataY.push(val);
 };

 var txt2 = board.create('text', [15, 1.8, function() { return 'n=' + (series.dataX.length-1) + ': value = ' + series.dataY[series.dataY.length - 1]; }], {strokeColor: 'black'});

var TO;

var approx = function() {
     series_add();
     board.update();
     if (series.dataX.length <= 50) {
         TO = setTimeout(approx, 500);
     }
};

var a_n;
var start_approx = function() {
  var txtraw = document.getElementById('input').value;
  a_n = board.jc.snippet(txtraw, true, 'n', true);
  approx();
}

var clear_all = function() {
  clearTimeout(TO);
  series.dataX = [0];
  series.dataY = [1];
};

</jsxgraph>

===The underlying JavaScript code===
<source lang="javascript">
</source>

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