Verify the Limit of a Piecewise Function

This example demonstrates how to use GeoGebra to verify the limit of a piecewise function at a specific point. The core math concepts involved include the definition of a limit, the properties of piecewise functions, and the geometric interpretation of limits. Key construction steps involve using the If command in GeoGebra to define the piecewise function, adjusting the intervals of the function using points A and B, and verifying if the left-hand and right-hand limits are equal using points C and D. Suitable for high school students learning calculus, this example helps in understanding and mastering the calculation methods for limits of piecewise functions.