Enough was enough

Been with my boyfriend for about to be 3 years in Septemeber. I found out that he had an addiction to contacting pornstars and sexting women for about 1 year now. I found a text message with an escort and then I found a fake twitter account where he would try to find and talk shit to them. I told him go to therapy or else it's over. He started going to therapy in March and said he was doing fine and having no slip ups. Again I would check in and ask him how everything is going.He would just nod it off and get annoyed while saying "yes! No slip ups , I love you and I've been good." . Between my dad's health getting worse and work being it was alot to juggle and I just prayed and hope he wasnt lying to me. I would check in and make sure he was being honest and I had this gut feeling that he wasnt. Unfortunately my father passed away at home on Sunday June 9th. Days later I was emailing the funeral home and didnt realize that I wasnt signed into my email. I went to the sent folder and realized that he had been lying this whole time. He made fake email account and even downloaded a text app where he texted from his phone just days before my birthday. After seeing all that on the same week of my father's service I told him we needed to breakup. I love him but I'm hurting and in fear of taking him back. Hes called me crying saying hes sorry and he'll change and he'll never do it again. But it's been the 4th time already and I can't keep having this fear of him doing this again to me