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: [-1, 3, 50, 0.5]});
+
  var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [-3, 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'});

Revision as of 23:11, 6 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]