A mug of hot coffee is poured and then set on the counter.
Sketch a feasible graph showing the temperature of the coffee as a function of time. Do not worry about units, just show the general behavior of the graph.
As the coffee cools, temperature will drop...
But will it approach a constant temperature (a horizontal asymptote)?
Or will it drop without bound (such that as
Evaluate the following limit and translate the entire limit statement into a complete sentence.
If you sketched a horizontal asymptote, then the limit should approach a constant value.
What does that horizontal asymptote represent? (use words)
If your sketch shows the temperature
, then the limit does not exist, but approaches .
What does that represent? (use words)