Difference between revisions of "Power series - pointwise"
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A WASSERMANN (talk | contribs) |
A WASSERMANN (talk | contribs) |
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| + | Approximate the value of | ||
| + | :<math> \sum_{n=0}^\infty a_n\cdot x^n</math> | ||
| + | for various values of <math>x</math> | ||
<html> | <html> | ||
nth-coefficient: <input type="text" id="input" value="1 / factorial(n)"> | nth-coefficient: <input type="text" id="input" value="1 / factorial(n)"> | ||
| Line 25: | Line 28: | ||
</jsxgraph> | </jsxgraph> | ||
| + | |||
| + | ===The underlying JavaScript code=== | ||
| + | <source lang="javascript"> | ||
| + | var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-8,8,8,-8], axis:true, showClearTraces: true}); | ||
| + | |||
| + | var p = board.create('glider', [0, 0, board.defaultAxes.x] , {name: 'x'}); | ||
| + | var q = board.create('point', [0, 1], {name: '', color: 'blue', trace: true, fixed: true}); | ||
| + | |||
| + | p.on('up', function(evt) { | ||
| + | |||
| + | var x, n, m = 50; | ||
| + | var txtraw = document.getElementById('input').value; | ||
| + | var a_n = board.jc.snippet(txtraw, true, 'n', true); | ||
| + | |||
| + | var s = 0; | ||
| + | x = p.X(); | ||
| + | for (n = 0; n < m; n++) { | ||
| + | s += a_n(n) * Math.pow(x, n); | ||
| + | } | ||
| + | q.moveTo([x, s], 0); | ||
| + | }); | ||
| + | </source> | ||
| + | |||
| + | [[Category:Examples]] | ||
| + | [[Category:Calculus]] | ||
Revision as of 09:14, 7 January 2019
Approximate the value of
- [math] \sum_{n=0}^\infty a_n\cdot x^n[/math]
for various values of [math]x[/math] nth-coefficient:
The underlying JavaScript code
var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox:[-8,8,8,-8], axis:true, showClearTraces: true});
var p = board.create('glider', [0, 0, board.defaultAxes.x] , {name: 'x'});
var q = board.create('point', [0, 1], {name: '', color: 'blue', trace: true, fixed: true});
p.on('up', function(evt) {
var x, n, m = 50;
var txtraw = document.getElementById('input').value;
var a_n = board.jc.snippet(txtraw, true, 'n', true);
var s = 0;
x = p.X();
for (n = 0; n < m; n++) {
s += a_n(n) * Math.pow(x, n);
}
q.moveTo([x, s], 0);
});
