If this a new AxiDraw, please contact support directly; the servo on a new AxiDraw shouldn’t fail in just a couple of days, so we’ll have some specific follow up questions.
More typically, servo motors last some months or even years, but it’s not unheard of to wear one out in a couple of weeks if you’re pushing it really hard. If it’s only lasting a couple of days, it sounds like something is wrong, or you just got one that failed early for some reason.
You can improve servo life by taking care that the pen slide moves freely, without any friction– which means not over-tightening the pen screw amongst other things, avoiding extra weights or rubber bands, and minimizing the distance between the pen-up and pen-down positions.