Final answer:
Limiting values accurately depict the long-term behavior of functions, as seen in the examples of terminal velocity and limiting distance, which can be determined through limits.
Step-by-step explanation:
The statement that limiting values give information about the long-term behavior of functions is true. Limiting values, or limits, are fundamental to the study of calculus and help us understand how a function behaves as the input approaches a certain value. They are particularly useful for understanding behavior that is not explicitly clear from the function's formula. For example, the terminal velocity of a falling object can be considered a limiting value illustrating the velocity it approaches over time due to air resistance and gravity. Similarly, in the context of motion, the limiting distance refers to the total distance an object would cover as time approaches infinity. This behavior can be studied through functions that exhibit exponential decay, where the limit can be reached in a practical, finite amount of time, not actually taking forever to do so.