How do i echo the following HTML and PHP in jQuery to make it render as html?
<script src="<?php bloginfo('template_directory'); ?>/js/carousel.js"></script>
You can save it inside a variable like
var script = "<?php bloginfo('template_directory'); ?>" + "/js/carousel.js";
Watch out for the quote you use.
Try the below code.
$('head').append('<script src="<?php bloginfo('template_directory'); ?>/js/carousel.js"></script>')
It will add the code at the end of head tag. Assuming all your jquery library available in head tag
Note: It will work only if you write this code inside a php file
May be this is what u want
<script src="<?php echo bloginfo('template_directory'); ?>/js/carousel.js"></script>