Approximation of e: Difference between revisions

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  };
  };


  var txt1 = board.create('text', [5, 1, function() { return 'n=' + (seq.dataX.length-1) + ' value = ' + seq.dataY[seq.dataY.length - 1]; }], {strokeColor: 'blue'});
  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 txt2 = board.create('text', [15, 2, function() { return 'n=' + (series.dataX.length-1) + ': value = ' + series.dataY[series.dataY.length - 1]; }], {strokeColor: 'black'});





Revision as of 22:10, 6 January 2019

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

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

and by the series (black line)

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