Calculus Lecture Notes: Limits and Continuity

Description

Chapter 2 lecture notes covering the fundamental theory of limits and the definition of continuity. The document focuses on calculation methods, asymptotic analysis, and formal mathematical proofs. Key Highlights:Limit Evaluation: - Methods for one-sided, two-sided, and limits at infinity. - Asymptotes: Identifying Horizontal (HA) and Vertical (VA) asymptotes. - Indeterminate Forms: Solving limits involving 0/0 and infinity. - Theorems: Application of the Squeeze (Sandwich) Theorem. - Continuity: Rules for continuity at a point and over an interval. - Function Types: Analysis of polynomial, rational, and piecewise functions.