Final answer:
The student is asked to evaluate limits and explain their meaning in terms of instantaneous angular velocity.
Step-by-step explanation:
The student is asked to evaluate limits and explain their meaning in terms of instantaneous angular velocity. The instantaneous angular velocity is defined as the limit of the average angular velocity as the time interval approaches zero. The average angular velocity is defined as the change in angle divided by the change in time. By taking the limit as the time interval approaches zero, we can find the precise angular velocity at a specific point in time.