OK I want to know how to prove to my boyfriend that I love him. I made a very big mistake and I want him back sooo bad please help!!

May I ask what mistake you did?

Maybe tell him face to face when he's only how much you care for him and truly sorry for what you done. If you done or not sure if it will work. Space, then try again, if he has a chance to cool off you might have better chances.

But you need to accept that there's a chance he will never want you back.

The only thing I can think of is telling him that you want him back. If he doesn't come back then give him space and time. If it was worth it he will come back

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I think you have to clarify your problem for us.

Can you come back with more details,please?