How to bypass limit apikey drom tmdb?

Can I bypass limit apikey from themoviedb? Because when my api get limit my site is get blank. I try to make more than 1 apikey with array

$apikey=array('api1','api2','api3','api4');
$i=array_rand($apikey);
$apikey = $apikey[$i];

But sometimes i still get blank page, my question is how to bypass limit? I want when page is blank or apikey is limit then reload page with next apikey