Why not test it out? Here's a modified version of the Project a Point sample that also uses geographicToWebMercator():
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=7,IE=9" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1,user-scalable=no"/>
<title>Project a point</title>
<link rel="stylesheet" type="text/css" href="http://serverapi.arcgisonline.com/jsapi/arcgis/2.4/js/dojo/dijit/themes/claro/claro.css">
<script src="http://serverapi.arcgisonline.com/jsapi/arcgis/?v=2.4" type="text/javascript"></script>
<script type="text/javascript">
dojo.require("esri.map");
dojo.require("esri.tasks.geometry");
var map = null;
var gsvc = null;
var pt = null;
function initialize() {
map = new esri.Map("map");
var layer = new esri.layers.ArcGISTiledMapServiceLayer("http://server.arcgisonline.com/ArcGIS/rest/services/ESRI_StreetMap_World_2D/MapServer");
map.addLayer(layer);
map.setExtent(new esri.geometry.Extent(-144.13, 7.98, -52.76, 68.89, new esri.SpatialReference({wkid: 4326})));
map.infoWindow.resize(360, 120);
gsvc = new esri.tasks.GeometryService("http://sampleserver3.arcgisonline.com/ArcGIS/rest/services/Geometry/GeometryServer");
dojo.connect(map, "onClick", projectToWebMercator);
}
function projectToWebMercator(evt) {
map.graphics.clear();
var point = evt.mapPoint;
var symbol = new esri.symbol.SimpleMarkerSymbol().setStyle(esri.symbol.SimpleMarkerSymbol.STYLE_DIAMOND);
var graphic = new esri.Graphic(point, symbol);
var outSR = new esri.SpatialReference({ wkid: 102113});
// convert client side
var wm = esri.geometry.geographicToWebMercator(point);
map.graphics.add(graphic);
gsvc.project([ point ], outSR, function(projectedPoints) {
pt = projectedPoints[0];
// display both geometry service result and the client side result
graphic.setInfoTemplate(new esri.InfoTemplate("Coordinates",
"<table><tbody><tr><td>Geometry Service:</td><td>" + pt.x.toFixed(3) + ", " + pt.y.toFixed(3) +
"</td></tr><tr><td>Client Side:</td><td>" + wm.x.toFixed(3) + ", " + wm.y.toFixed(3) + "</td></tr></tbody></table>"
));
map.infoWindow
.setTitle(graphic.getTitle())
.setContent(graphic.getContent())
.show(evt.screenPoint, map.getInfoWindowAnchor(evt.screenPoint));
});
}
dojo.addOnLoad(initialize);
</script>
</head>
<body class="claro">
<b>Click a location on the map to Project from LatLng -> Web Mercator:</b>
<div id="map" style="width:800px; height:800px; border:1px solid #000;"></div>
</body>
</html>