Return air vent plugged up, or heat ducts plugged up,(dog hair?) or outlet vents closed in some rooms (open them all)
Remove floor and wall registers to vacuum the ducts out, remove return air vent to vacuum behind it.
It might not be the limit switch, but the flame sensor might not be detecting the flame. Check the prongs in the burner for stuff on them.
1. 1991 Oakland 28DB Class C
on Ford E350-460-7.5 Gas EFI
Photo in Profile
2. 1991 Bighorn 9.5ft Truck Camper on 2003 Chev 2500HD 6.0 Gas
See Profile for Electronic set-ups for 1. and 2.