How do I prove to my boyfriend that I really love HIM?

Actions speak louder then words.

Showing respect,listening,asking how his day went,telling him,spending time together,doing fun activities together.

Give us some more details about your relationship please.

Everyone requires something different to get the proof. For me, I would be content if I see my girlfriend making an effort with me. But effort is definitely differently from person to person.

So it highly depends on what your boyfriend sees as effort or what he considers as proof. Talking to him will sort out some confusion.

If you have to prove your feelings to someone, then they probably won't believe you whatever you do.

If they have no faith in you, they aren't worth it.