I know that you have already seen this by many people....but you need to be so thankful that he is indeed making an effort to work on your M. Even though it is going to be hard to trust again, I pray that you will be able to find a way to make it work. I know that every M isn't meant to be saved but in God's eyes, they are. Your H seems like he is showing remorse and wanting your forgiveness. Please don't write him off. None of us are perfect and we all deserve second chances at things.
Just something to think about.
"Be patient to persevere and wait for God to heal. Keep in mind that you are both imperfect people. Look to God as the source of all you want to see in your marriage and don't worry how it will happen...Leave it in His hands."