Well, there is (yet again) more than one solution to this problem. But, lets first talk why your code doesn't work properly.
Your code:
for (i = 0; i < 3; i++) {
var interval = setInterval(function(){
alert(i);
}, 2000);
}
..basically means that it will assign three setInterval calls to be executed after 2 seconds as fast as the for loop is placing them to the queue. So basically, all your calls runs really fast after 2 seconds, only few milliseconds or less between them. Moreover, setInterval means that it will be called as long as clearInterval is called to the variable it is assigned with. In other words, your code never stops executing the alert, because you are never calling clearInterval. Finally, your alert(i) will always display value of 3, because it is the last value of i when execution moves away from the for loop.
To improve your code, you could remove the for loop entirely and just let setInterval run as long as the value of i is alerted three times; At that point, you just call clearInterval to the value which has handle to setInterval and the job is finished.
Working code:
// value to output
var i = 0,
// starting setInterval and assigning its handle to variable interval,
// it is used to clear the interval when execution should be finished
interval = setInterval(function () {
// alert value of i and increase it by 1
alert(i++);
// if i is equals to 3, no more calls
if(i === 3) {
// clear the interval so method won't be called in the future
clearInterval(interval);
}
}, 2000);
JS FIDDLE EXAMPLE
Cheers, hopefully you learnt something new today.