Will he ever get over my past?

I have been in a relationship for 4 years and while it is great most of time sometimes my past comes back to haunt me. There was a point in our relationship that I was disrespectful and cheated. This was early on within the first couple of months of us getting together. However I have always had some anger issues and unfortunately my spouse took the heat of most of it. I have not been the best girlfriend for all 4 years but I have been working consistently to show him that I am a changed woman. I have been to therapy for my anger and listened to anything and everything I could do to make him happier. I also removed all friends and people who were negative influences on my life. I have been consistently faithful and given absolutely no reason for him to feel uncomfortable (when it comes to faith fullness) in the last 3 1/2 years. I also have progressively gotten better with anger management and learning to be more mindful of my words and actions over the past few years. While he says that he loves me and so thankful to have me and often admits that he needs to get over the past saying things like "I know your a different person, I know you love me, I know you wouldn't hurt me" I still feel like their is a part of him that hates me for who I used to be. I often feel like no matter how great I am or have been for several years that he still doubts my love for him. If we argue and I have a moment of anger where I yell or curse he often is reminded of how I used to be and not who I am today. This however really bothers me because I am human I get angry occasionally and not saying that is ok to be disrespectful I don't think it is fair to take away every good thing I have done because of one impulse decision. I try to be very understanding of his feelings and never deny who I was or what I did. I often try to console him and let him know that I still am genuinely sorry for the things I have done. While I have no problem living a good and healthy life with him I do feel a little resentment for not being recognized all the time as the wonderful person I know I have grown to be. I do admit there is room for improvement and opportunity to get better I do also feel like I am worthy enough to deserve a kind, honest, and gentle love. Let me say that he is amazing and I have never met someone quite like him. He is the perfect gentleman most of the time and I honestly don't want to live without him. I guess what I am asking after all of this is, is it possible that he may never have forgiven me.. or that he truly never will?? Are we just wasting time, is it inevitable that we break up? I feel like our love is so rare to endure so many beautiful and hurtful things at the same time and still be able to continue that I truly don't want to loose him. I have had two miscarriages and a disease that almost killed me and he has never left my side not even after me cheating.. We have shared so much that I feel so genuinely connected to him that it hurts when I hurt him and it almost becomes unbearable for me. And I am sure for him as well.