An autonomous vehicle company is designing algorithms for real-time decision-making based on sensor data. Understanding the limits of func- tions is crucial for optimizing vehicle trajectories and ensuring passenger safety.
(a) The company analyzes performance of a vehicle approaching a turn.
As analyst, determine the behaviour of the vehicle near the turning
point by calculating limx→2 x2−4. [5 marks] x−2
(b) Investigate the long term behavior of the vehicle’s velocity by de- termining limx→∞ x1 and interpret the result within the context of autonomous driving system