Understanding Limits, Continuity, and Discontinuities

Miacademy & MiaPrep Learning Channel

This video provides a comprehensive overview of limits and continuity in precalculus, moving beyond one-sided limits to the full definition of an overall limit. It explains that for an overall limit to exist, the left-hand and right-hand limits must be equal. The lesson uses visual graphs to introduce the concept of continuity informally as tracing a curve without lifting a pencil, and then categorizes different types of discontinuities: removable (holes), jump, infinite (asymptotes), and oscillating.