I found out my husband is a sex addict this past year, through different d-days for past infidelities. We have been married for 17 years, the first time he was unfaithful to me was in our second year of our marriage (which I found out years after it was over through a third party) ever since I started to doubt, however as years went by I started to trust him again, I really did think we were past that but at in the back of my mind there was always some doubt. 
As years went by I also found out he viewed porn and he had a flirting episode on Facebook when Facebook had just come out. Now he admitted to be a sex addict and to other infidelities. 
He is completely broken and after having my heart set on leaving him ....I felt in my heart God was asking me to stay. My husband seems to committed to his recovery, we've had hard but good conversations, he has done some counseling , hope for healing and also joined a SA group. I trust God with the big picture and overall I feel at peace with staying and our recovery.... however in the back of my mind there is always that doubt.... is he for real, is he going to do it again...
Does this doubting ever stop? 
Is it healthly to share my doubts with him?