Difference between revisions of "Approximation of e"

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Line 8: Line 8:
 
(function(){
 
(function(){
  
  var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-0.5, 3, 50, 0.5]});
+
  var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-1, 3, 50, 0.5]});
 
  var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});
 
  var line = board.create('line', [[-10, Math.E], [100, Math.E]], {strokeColor: 'green', strokeWidth: 1});
 
  var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});
 
  var seq = board.create('curve', [[0], [1]], {strokeColor: 'blue'});
Line 28: Line 28:
 
  };
 
  };
  
  var txt1 = board.create('text', [15, 1.5, function() { return 'n=' + (seq.dataX.length-1) + ': value = ' + seq.dataY[seq.dataY.length - 1]; }], {strokeColor: 'blue'});
+
  var txt1 = board.create('text', [15, 1.6, function() { return 'n=' + (seq.dataX.length-1) + ': value = ' + seq.dataY[seq.dataY.length - 1]; }], {strokeColor: 'blue'});
  var txt2 = board.create('text', [15, 2, function() { return 'n=' + (series.dataX.length-1) + ': value = ' + series.dataY[series.dataY.length - 1]; }], {strokeColor: 'black'});
+
  var txt2 = board.create('text', [15, 1.8, function() { return 'n=' + (series.dataX.length-1) + ': value = ' + series.dataY[series.dataY.length - 1]; }], {strokeColor: 'black'});
  
  

Revision as of 00:11, 7 January 2019

This little animation approximates [math]e[/math] (displayed by the horizontal green line) by the sequence (blue line)

[math](1+\frac{1}{n})^n[/math]

and by the series (black line)

[math] \sum_{n=0}^\infty \frac{1}{n!} [/math]