Asbestos fibers are microscopic.
These tiny fibers can be present in the dust in an area where asbestos insulation is disturbed. If you observed a lot of dust when removing or disturbing the asbestos, it is possible that you inhaled some asbestos fibers. Usually, however, it takes more exposure than a few trips to the attic to develop the health problems associated with exposure to asbestos. If you are concerned about possible exposure, consult a physician who specializes in environmental or occupational medicine. There are specialized firms that are certified in removing asbestos safely.