Help - Max number of connections - Mysql

function find_email($e){
	include('config.php');
	$connection = mysql_connect($dbhost, $dbuser, $dbpass);
	mysql_select_db($dbname,$connection);
	$sql = "SELECT id from customers where email = '" . $e . "'";
	$result = mysql_query($sql) or die('error, query failed');
	$num = mysql_num_rows($result);
	mysql_close($connection);
	$i=0;
	$id = 0;
	if($num > 0){
		while ($i < $num){
			$id = mysql_result($result,$i,"id");
			$i++;
		}
	}
	return $id;
}

function products($id,$para){
	echo $ids;
	require('config.php');
	require_once('ps_pagination.php');
	$connection = mysql_connect($dbhost, $dbuser, $dbpass);
	mysql_select_db($dbname,$connection);
	$sql = "SELECT name, code, public, image from products where online = 1 and categoryid in (" . $id . ") order by id desc";
	$q = 'category='.$para;
	mysql_close($connection);
	$pager = new PS_Pagination($connection, $sql, 10, 5,$q);
	$rs = $pager->paginate();
	$i = 0;
	$foundEntries = false;
	if(strlen($rs) > 0){
		$foundEntries = true;
		while($row = mysql_fetch_assoc($rs)){
			echo '<div class="productbrief"><div class="productbriefimage"><a href="details.php?public=';
			echo $row['public'] . '">';
			if(strlen($row['image']) > 0){
				echo '<img src="data/images/' . $row['image'] . '" width="70" />';
			}
			else{
				echo '<img src="images/noimage.jpg" width="70" />';
			}
			echo '</a></div><div class="productbrieftext"><em><a href="details.php?public=' . $row['public'] . '">' . $row['name'] . '</a></em><br /><em>Product #:</em> ' . $row['code'] . '</div><div class="clr"></div></div>';
			if((($i+1) % 4) == 0){
				echo '<div class="clr"></div>';
			}
			$i++;
		}
		echo '<div class="clr"></div>';
		echo '<div class="pager">' . $pager->renderFullNav() . '</div>';
	}
	return $foundEntries;
}