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

  1. 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 , )?

  2. 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)