### Home > APCALC > Chapter 2 > Lesson 2.2.2 > Problem 2-65

2-65.

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)