Are you in the North East region of US?
For the pass 6 days I saw a lot of postings for furnace and humidifier failures.
Partly is because the weather but the root cause is lack of maintenance.
User think LIFETIME Electrostatic air filter is maintenance free.
That is not true.
It's wash-able and need to be handle with care.
Inspect the air filter and replace it..
Lack of air circulation cause the furnace frame from burning efficient (BLUE FRAME) to orange / red color.
Over time,the temperature sensor will be coated with carbon deposit and record a higher temp reading.
They circuit will activate the fail safe and not allow the igniter to start on.
In your case,limit switch shut itself off.
Here is a LINK
to pictures of Weather King temp probes and sensors.
A clean filter and temp sensor will save you money.
Dial back the furnace to 65F until you can get hold of the filter and clean the sensor.
If the MODEL TAG is still in plain view then please post it on reply.
Please keep me posted on the fix via email.