It probably is wiring or relay.
The 2005 Lesabre has the blower motor mounted under the dash. It is under the glove box on the firewall behind a panel.
Assuming that the blower motor isn't on fire, it's probably the heater core. Does the smmoke smell sweet. If yes that's antifreeze. The smoke does smell like anti-freeze. Does this suggest that the heater core is the problem?
switch, relay or blower motor problem as a guess.
The blower motor on a 2003 Buick LeSabre is used to circulate air inside the vehicle's cabin. It is also pulls in warm air from the heater core.
If you are referring to the blower motor speed, and only the highest setting works, then the problem is a bad Blower Motor Resistor Pack.
blower resistor is behind fusesand realays under hood bolted into air duct
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If you are not getting any cool air, the compressor may need recharging or replacing. You will need to call a repairman.
Assuming you're referring to the HVAC blower, and not the engine fan, it could be a bad relay, the blower motor could be seized or a solenoid burnt out, it could be bad wiring, it could be a problem with the control switch.
Remove the old blower wheel, then reverse the procedure.
The 2003 Ford Expedition front air conditioner blower fuse can be found in the fuse box. The front air conditioner blower fuse will be the number six fuse.
Does the blower run? Runs only on high?