Husband...ex husband..?

i dont want to get into the whole story, but about a month ago my husband left me, or rather told me to leave him, made me take my stuff and go. And about a week ago told me he's getting divorce papers together. But he's really confusing me....like he will call or text me sometimes and be really sweet (like he usually is) and sometimes ask to go out for lunch or dinner. He says he still loves me and cares about me, but if i ask if he's changing his mind then, and wants to be with me, He says no. So if he dosent want to be with me, why is he acting this way?(& other times he just ignores my calls or texts completely, and usually i only call or text him if its about something important, like a bill he might not know about that needs to be paid or something to that effect) I've gone to lunch with him once and he asked me again today but insists he still doesnt want to be with me....Im not sure if i should go or not...its really hard to go and see him and talk to him but then reminded that he doesnt want me. Its so frustrating because i love this man with my whole heart and he leaves me, and then talks to me like nothings different, but doesnt want to be with me?!!?! I feel like he has given up on this marriage too easily and wont give it another chance. When i took our vows, i meant forever. So i just need some general advice...like should i go to lunches with him, or keep contact to a minimum since its so hard? He's loving being "single" even tho he still is technically married...he texts and flirts and hangs out with other girls and thinks nothing is wrong with that, its hurtful. And its only been a month! He was doing that before i had even moved my stuff out of the apt! he seems to be moving on from me so easily, but he insists this is just as hard for him. I'm sure the people he's with make it easier. =/ Im just at a total loss....