Difference between revisions of "Power series for the exponential function"
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− | < | + | <jsxgraph width="600" height="400" box="jxgbox1"> |
− | + | board1 = JXG.JSXGraph.initBoard('jxgbox1', {boundingbox: [-6, 25, 6, -15], axis: true}); | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | board1 = JXG.JSXGraph.initBoard('jxgbox1', { | ||
board1.suspendUpdate(); | board1.suspendUpdate(); | ||
− | + | ||
− | board1. | + | board1.create('functiongraph', |
− | board1. | + | [function(t){ return Math.exp(t); },-10, 10], |
− | + | {strokeColor: "#cccccc"}); | |
− | + | ||
− | + | var s = board1.create('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1}); | |
− | + | board1.create('text',[-4,10, function() { | |
− | + | return 'n='+s.Value(); | |
− | board1. | + | } |
− | + | ]); | |
+ | board1.create('text',[-4,8, function() { | ||
+ | var val = 0, i, sv = s.Value()+1; | ||
+ | for(i = 0; i < sv; i++) { | ||
+ | val+= 1.0/JXG.Math.factorial(i); | ||
+ | } | ||
+ | return 'e~'+(val).toFixed(10); | ||
+ | } | ||
+ | ]); | ||
+ | |||
+ | board1.create('functiongraph', [ | ||
function(t) { | function(t) { | ||
− | var val = 0; | + | var val = 0, i, sv = s.Value()+1; |
− | for( | + | for(i = 0; i < sv; i++) { |
− | val+= Math.pow(t,i)/ | + | val+= Math.pow(t,i)/JXG.Math.factorial(i); |
} | } | ||
return val; | return val; | ||
}, | }, | ||
− | + | -10, 10], {strokeColor: "#bb0000", curveType:'plot'}); | |
board1.unsuspendUpdate(); | board1.unsuspendUpdate(); | ||
− | / | + | </jsxgraph> |
− | */ | + | |
− | + | === References === | |
− | + | * [http://en.wikipedia.org/wiki/Exponential_function http://en.wikipedia.org/wiki/Exponential_function] | |
+ | |||
+ | === The underlying JavaScript code === | ||
+ | |||
<source lang="javascript"> | <source lang="javascript"> | ||
+ | board1 = JXG.JSXGraph.initBoard('jxgbox1', {boundingbox: [-6, 25, 6, -15], axis: true}); | ||
+ | board1.suspendUpdate(); | ||
+ | |||
+ | board1.create('functiongraph', | ||
+ | [function(t){ return Math.exp(t); },-10, 10], | ||
+ | {strokeColor: "#cccccc"}); | ||
+ | |||
+ | var s = board1.create('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1}); | ||
+ | board1.create('text',[-4,10, function() { | ||
+ | return 'n='+s.Value(); | ||
+ | } | ||
+ | ]); | ||
+ | board1.create('text',[-4,8, function() { | ||
+ | var val = 0, i, sv = s.Value()+1; | ||
+ | for(i = 0; i < sv; i++) { | ||
+ | val+= 1.0/JXG.Math.factorial(i); | ||
+ | } | ||
+ | return 'e~'+(val).toFixed(10); | ||
+ | } | ||
+ | ]); | ||
+ | |||
+ | board1.create('functiongraph', [ | ||
+ | function(t) { | ||
+ | var val = 0, i, sv = s.Value()+1; | ||
+ | for(i = 0; i < sv; i++) { | ||
+ | val+= Math.pow(t,i)/JXG.Math.factorial(i); | ||
+ | } | ||
+ | return val; | ||
+ | }, | ||
+ | -10, 10], {strokeColor: "#bb0000", curveType:'plot'}); | ||
+ | board1.unsuspendUpdate(); | ||
</source> | </source> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
+ | [[Category:Calculus]] |
Latest revision as of 16:44, 20 February 2013
References
The underlying JavaScript code
board1 = JXG.JSXGraph.initBoard('jxgbox1', {boundingbox: [-6, 25, 6, -15], axis: true});
board1.suspendUpdate();
board1.create('functiongraph',
[function(t){ return Math.exp(t); },-10, 10],
{strokeColor: "#cccccc"});
var s = board1.create('slider', [[0.75,-2],[5,-2.0],[0,0,15]], {name:'S',snapWidth:1});
board1.create('text',[-4,10, function() {
return 'n='+s.Value();
}
]);
board1.create('text',[-4,8, function() {
var val = 0, i, sv = s.Value()+1;
for(i = 0; i < sv; i++) {
val+= 1.0/JXG.Math.factorial(i);
}
return 'e~'+(val).toFixed(10);
}
]);
board1.create('functiongraph', [
function(t) {
var val = 0, i, sv = s.Value()+1;
for(i = 0; i < sv; i++) {
val+= Math.pow(t,i)/JXG.Math.factorial(i);
}
return val;
},
-10, 10], {strokeColor: "#bb0000", curveType:'plot'});
board1.unsuspendUpdate();