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Infinite Limits Example

Infinite Limits Example
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2017-02-21 10:04
FunctionLimitSlider Animation
This example demonstrates the concept of infinite limits. It involves limit theory and dynamically adjusts parameters to observe the behavior of a function at specific points. The construction uses functions, slider animations, and geometric construction GeoGebra objects and commands. Suitable for high school mathematics education and students learning limit theory.

GeoGebra Commands & Parameters

  1. f(x) = (x^(2) + x - 2) / (x^(2) - 1)
  2. Numeric a(5.0)
  3. (a, f(a))
  4. (1, 1.5)
  5. (1, 1.5)
  6. x = -1
  7. y(A)

AI Drawing Prompt Reference

Draw the function f(x) = (x^2 + x - 2) / (x^2 - 1) and observe how the function values change as x approaches 1 and -1. Use a slider to adjust parameters and dynamically show the function's behavior at specific points.
The prompt above was compiled from the original drawing commands and is for reference only.