Single member LLC taxes as non-resident

Hello, 

I created a single member LLC while being a US Tax resident as a green card holder. I provide online services to US clients. I plan on permanently moving to Europe and will relinquish my green card. What happens from a US Tax standpoint when I am no longer considered a US tax resident? What disclosure form will I need to fill out? My LLC is a home-based consulting business with no US-dependent agents or employees.

Best, 

Coumba