Function Limits and Geometric Demonstration

This example dynamically demonstrates the concept of function limits, integrating rotation, congruence, and the Pythagorean theorem to showcase the geometric meaning of cube roots. Core mathematical concepts include limits, rotation, congruence, Pythagorean theorem, cube roots, and function graphs. GeoGebra commands like LaTeX, Point, Line, and Polygon are used to construct objects such as function f, variables a,b, and geometric elements P,C,A,B. It is suitable for high school mathematics teaching, helping students understand the connection between limits and geometric transformations, and enhancing spatial reasoning skills.