### Home > CALC > Chapter Ch2 > Lesson 2.2.2 > Problem 2-65

A mug of hot coffee is poured and then set on the counter. Homework Help ✎ 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.

Evaluate the following limit and translate the entire limit statement into a complete sentence.

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 *x* → ∞, °F → − ∞)?

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)