Sorry for the update thing, forgot the syntax myself :p
Why did you assign a limit in your SQL statement? If you are using an ID, I assume you only have 1 record associated with it.
Try this:
$sMember = $_SESSION['member'];
$pID = $_POST['news_id'];
$query = "UPDATE news SET title='$title', newstext='$text'
WHERE artist='$sMember' AND id='$pID'";
$result = mysql_query($query);
Much cleaner and should be correct syntax.
If it still does not update, perhaps you should try to echo out $sMember, $pID and $query and see if something is wrong with them.
Also, since you posted on a newbie forum, I might as well ask you if you have established a connection first.Consult this page if you haven't done so:
http://www.php.net/manual/en/ref.mysql.php
Good luck