This lecture covers the fundamental concepts of limits and continuity in mathematics, starting with the definition of limits and the notion of continuity. It explains how to calculate limits, including examples of substitution and factor elimination techniques. The lecture also delves into infinite limits, showcasing how a function approaches infinity as the input variable gets arbitrarily large or small. Additionally, it explores the concept of continuity, illustrating how a function is considered continuous if it can be drawn without lifting the pen. The importance of understanding limits and continuity in mathematical analysis is emphasized throughout the lecture.
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