When my daughter was almost 3 I travelled to Europe for 2.5 weeks on my own to attend a friend's wedding and to visit my extended family. Since then, I've been away for at least one week a year, usually for business (presenting at academic conferences, attending workshops etc.). I always make sure that I have two or three days to actually spend time in the cities I'm visiting, outside of the conference room.
I love travelling on my own because I can set my own schedule and have some time to focus on what interests me without worrying that someone else is getting bored or tired or hungry. Up until last year, my going away didn't phase my daughter one bit. Last summer she was a bit sad but we had other things going on that were affecting her, not just my travelling. I always make sure to bring her something interesting from every place I go to and she seems sort of proud in a way to have a mom who jets off to far-flung places on her own. I've never thought of myself as a particularly adventurous person (In fact, I had a phobia that kept me from flying for 20 years. I guess I'm making up for lost time

) but I guess to her I sort of am.