Some Extra Info
The way you described will work. From Experience I would just like to point out some things.
- I usually do a recursive function, allows you to wait your interval between ajax calls and not a fixed rate. //OPTIONAL BUT DOES GIVE THE SERVER SOME BREATHING ROOM. 
- Use window.setTimeout() with an isActive flag. //ALLOWS YOU TO STOP POLLING FOR WHATEVER REASON, AND BECAUSE FUNCTION IS RECURSIVE START UP AGAIN IF NEED BE 
- For Sake of being thorough, I found it is always a good idea to handle the error case of the $.ajax() post. You could perhaps display some message telling the user he is no longer connected to the internet etc. 
Some Sample Code:
var isActive = true;
$().ready(function () {
    //EITHER USE A GLOBAL VAR OR PLACE VAR IN HIDDEN FIELD
    //IF FOR WHATEVER REASON YOU WANT TO STOP POLLING
    pollServer();
});
function pollServer()
{
    if (isActive)
    {
        window.setTimeout(function () {
            $.ajax({
                url: "...",
                type: "POST",
                success: function (result) {
                    //SUCCESS LOGIC
                    pollServer();
                },
                error: function () {
                    //ERROR HANDLING
                    pollServer();
                }});
        }, 2500);
    }
}
NOTE
This is just some things I picked up using the exact method you are using, It seems that Web Sockets could be the better option and I will be diving into that in the near future.