fadein fadeout HEEELP!!

fadein fadeout HEEELP!!

Please someone help me, because I'm not sure what I am doing wrong.  I have quadruple checked my code, but am still a relative newbie.  My intention is that when I press the button, my image will simply fade out.  Sounds easy right?  Here is my code:

<link href="style.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="jquery.js">
$(document).ready(function() {
$("#fadeout").click(function () {
$("#Div1").fadeOut("normal");
});
});

</script>
</head>
<body>
<div id="Div1"><img src="images/ryan_catanese16.JPG" width="335" height="500" />
</div>
<div id="theDiv">
<button id="fadeout">enter</button>
</div>
</body>
</html>

Thanks so much in advance