Limits Investigation: Visualizing Limit Concepts with Dynamic Geometry

① This GeoGebra example demonstrates the concept of limits through an interactive geometric construction, allowing learners to observe how function values or geometric quantities approach a target as a variable changes. ② Core mathematical concepts include limits, arithmetic mean, combinatorics, similar triangles, and conic sections, integrated into a unified dynamic model that highlights the interplay between geometry and analysis. ③ Construction details: based on the summary, LaTeX commands generate mathematical formula texts (text1 to text6), Point commands create key points (A, B, C, D, E, G, H), and functions f, g, h along with objects a, b, c are defined, likely involving sliders or dynamic parameters to control the limiting process. ④ Suitable for high school to early college mathematics learners, especially for introductory calculus or math lab sessions, helping students transition from geometric intuition to rigorous limit definitions, and useful for teacher demonstrations or student self-exploration.