The example you're looking at is trying to show you how closures work. I think of closures as little pieces of code that you can pass around. The neat thing is that (free) variables in the closure are bound based on the current lexical scope. This is why local_value
keeps the value 7
because that's what the value of local_value
was when the closure was created.
Javascript implements closures via anonymous functions*, but keep in mind that technically, these are two separate concepts.
In the context of Javascript, closures (implemented as anonymous functions) are very helpful when you want to deal with things that happen asynchronously; a good example is, like you stated, AJAX requests where you cannot predict when you will get a response back from a server. In this case, you have an anonymous function called a callback that you initially define and pass in when you make the AJAX call. When the call successfully completes, your callback is called to process the result. Closures result in cleaner code since you can package behavior and logic inside them. It also helps you abstract the behavior our and separate concerns.
Another use for anonymous functions/closures is for event handling. When an event happens your event handler is called.
Like I had mentioned before, you can abstract behavior and logic and put it in a closure. But what really makes a closure so powerful is context. You can customize the behavior of your closure, depending on the environment in which it was created. This makes your function very versatile, because you are defining its arguments (which will influence its behavior) while you are creating it, instead of when you are calling it (with explicit parameters) during execution.
Here is a good article about closures in Javascript. It's long, but informative:
* As CMS mentioned, named functions will behave like anonymous functions because they will have access to variables that are defined in the same lexical scope (or anything up the chain). This is most evident in inner functions. But if you think about it, the same happens for any function; you have access to variables that have been defined in the global scope (i.e., global variables).