<script type="text/javascript">
		function testThis(){
		  //who is "this"
		}
</script>

And now to the real example.

Let’s say you build a simple Javascript object:

<script type="text/javascript">
		var mathObj = {
			pi: 3.14,
			getCircumference : function(data) {
				alert(this.pi * 2 * data.radius);
			}
		}

		mathObj.getCircumference(10);
</script>

You have properties, you have functions, you can use this keyword to access properties of the object from its functions. Everyone is happy.
Now we want to add function that will get some server data using AJAX and run one of the functions our object has.
(To all who wondered what is $ stands for – I use JQuery framework in all my JS samples)

<script type="text/javascript">
		var mathObj = {
			pi: 3.14,
			getCircumference : function(data) {
				alert(this.pi * 2 * data.radius);
			},
			getRemoteCircumference: function(url) {
				$.getJSON(url, this.getCircumference);
			}
		}

		mathObj.getRemoteCircumference("RadiusData.js");
</script>

If we have {“radius”:5} in RadiusData.js file you would expect the result of getCircumference would be 31.4 but you will get NaN. Why is that? Because this keyword in this case will refer to some kind of object with request data returned by JQuery. What can you do?
Solution number one is to use your object name:

...
	getCircumference : function(data) {
		alert(mathObj.pi * 2 * data.radius);
	}
...

Ugly. You don’t have to return on object name in every function.
Solution number two is to use anonymous function and explicitly call your function:

....
	getRemoteCircumference: function(url) {
		$.getJSON(url, function(data){
			mathObj.getCircumference(data);
		});
	}
...

Good enough solution, but again I don’t like reusing object name…
And now to my favorite solution.

<script type="text/javascript">
   function getContextFunc(context, func) {
       return function() {
           func.apply(context, arguments);
       };
   }

   var mathObj = {
       pi: 3.14,
       getCircumference: function(data) {
           alert(this.pi * 2 * data.radius);
       },
       getRemoteCircumference: function(url) {
          $.getJSON(url, getContextFunc(this, this.getCircumference));
       }
   }

   mathObj.getRemoteCircumference("RadiusData.js");
</script>

Here apply function will come in handy. getContextFunc returns anonymous function that will run our original method in given context.
See some documentation