Difference between revisions of "Approximation of e"
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(function(){ | (function(){ | ||
− | var board = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox: [- | + | 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. | + | 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, | + | 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]