[javascript] How to autosize a textarea using Prototype?

My solution not using jQuery (because sometimes they don't have to be the same thing) is below. Though it was only tested in Internet Explorer 7, so the community can point out all the reasons this is wrong:

textarea.onkeyup = function () { this.style.height = this.scrollHeight + 'px'; }

So far I really like how it's working, and I don't care about other browsers, so I'll probably apply it to all my textareas:

// Make all textareas auto-resize vertically
var textareas = document.getElementsByTagName('textarea');

for (i = 0; i<textareas.length; i++)
{
    // Retain textarea's starting height as its minimum height
    textareas[i].minHeight = textareas[i].offsetHeight;

    textareas[i].onkeyup = function () {
        this.style.height = Math.max(this.scrollHeight, this.minHeight) + 'px';
    }
    textareas[i].onkeyup(); // Trigger once to set initial height
}