[初賽第二階段] 級數與近似（2） [Preliminary Phase 2] Series and Approximations (2)

Big Concept: Series and Approximations Topic: Taylor Series Bloom's Taxonomy: apply, analyze Learning Goal: Use Taylor polynomials and analyze approximation accuracy Key Learning Points: higher-order terms, approximation error Note: Evaluate whether the AI discusses accuracy, limitations, and addresses misconceptions such as more terms always guaranteeing perfect accuracy or validity far from the expansion point