Jquery if hover element add a button if not remove button

Question

I am adding a button in jquery with append, bot I got 2 problems

1- keeps adding this button everytime I hover.

2 -when is not hover the button still there.

$('#user tbody tr td').hover(function() {
   $(this).addClass('hover2').append('<button>add user</button>');
}, function() {
 $(this).removeClass('hover2').remove('<button>add user</button>');
});

Answer 1

$('#user tbody tr td').hover(function() {
   $(this).addClass('hover2').append('<button>add user</button>');
}, function() {
 $(this).removeClass('hover2').find('button').remove();
});

sample using <div> element

http://jsfiddle.net/xtb51wed/1095/