Need Love Advice!

was dating this guy for 5months and when I saw what his ex put on fb I assumed it was about him and freaked out and ended things with him. Well I turned out to be wrong, and now he won't take me back. We've been broken up 1month but still txt everyday, occasionally have sex and he says he loves me. Am I wasting my time? Or should I wait to see if he comes around? (He's very stubborn)