That is a characteristic of heat pumps; when the thermostat setting is within 1 or even 2 degrees of the room temperature, the fan will continue to provide heat with the outdoor unit running. Talk to the service contractor to let him explain and check if there is something wrong.
http://www.heatpro.info heat/cool right-sizing
The Senate and House can not find a suitable health plan for the nation; they should open their own exclusive health plan booklet and start reading.