update work flow

This commit is contained in:
jverzani
2022-07-25 20:51:08 -04:00
parent bce4ce7fa0
commit 6712bb02c4
86 changed files with 489 additions and 2139 deletions

View File

@@ -384,6 +384,43 @@ get close to $c$ - allows us to gather quickly if a function seems to
have a limit at $c$, though the precise value of $L$ may be hard to identify.
##### Example
This example illustrates the same limit a different way. Sliding the ``x`` value towards ``0`` shows ``f(x) = \sin(x)/x`` approaches a value of ``1``.
```=html
<div id="jsxgraph" style="width: 500px; height: 500px;"></div>
```
```ojs
//| echo: false
//| output: false
JXG = require("jsxgraph")
b = JXG.JSXGraph.initBoard('jsxgraph', {
boundingbox: [-6, 1.2, 6,-1.2], axis:true
});
f = function(x) {return Math.sin(x) / x;};
graph = b.create("functiongraph", [f, -6, 6])
seg = b.create("line", [[-6,0], [6,0]], {fixed:true});
X = b.create("glider", [2, 0, seg], {name:"x", size:4});
P = b.create("point", [function() {return X.X()}, function() {return f(X.X())}], {name:""});
Q = b.create("point", [0, function() {return P.Y();}], {name:"f(x)"});
segup = b.create("segment", [P,X], {dash:2});
segover = b.create("segment", [P, [0, function() {return P.Y()}]], {dash:2});
txt = b.create('text', [2, 1, function() {
return "x = " + X.X().toFixed(4) + ", f(x) = " + P.Y().toFixed(4);
}]);
```
##### Example
@@ -436,8 +473,6 @@ $g(x) = (x-3)/(x+3)$ when $x \neq 2$. The function $g(x)$ is
$g(2) = (2 - 3)/(2 + 3) = -0.2$ it would be made continuous, hence the
term removable singularity.
## Numerical approaches to limits
The investigation of $\lim_{x \rightarrow 0}(1 + x)^{1/x}$ by