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Limit Laws Demonstration

Limit Laws Demonstration
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2018-06-25 00:31
FunctionCalculusLimitSlider AnimationGraphing
This example demonstrates the application of Limit Laws in function graphs by dynamically adjusting parameters to observe limit value changes. Core math concepts include limits, functions, natural numbers, scatter plots, and median values. GeoGebra commands like f, g, h, sliders, and limit1 are used to construct function and limit animations. Suitable for high school and university beginners studying calculus limits, ideal for teaching demonstrations and concept understanding.

GeoGebra Commands & Parameters

  1. f(x) = If[-0.98 ≤ x < 0.93, (-(x - 1)^(2)) + 1]
  2. (1, 1)
  3. (-1, -3)
  4. g(x) = If[x ≥ 1.08, (-(x - 1)^(2)) + 1]
  5. h(x) = If[x ≤ -1, (3 * x) + 1]
  6. (-1, -2)
  7. (1, 0)
  8. p(x) = If[x < -1.05, (1.5 * x) + 0.5]
  9. q(x) = If[-0.95 < x < 2, x + 1]
  10. r(x) = If[x > 2.03, (-3 * x) + 10]
  11. (-1, 0)
  12. (-1, -1)
  13. (2, 3)
  14. (2, 4)
  15. true
  16. false
  17. false
  18. false
  19. Numeric Example(1)
  20. Numeric slider(0.99)
  21. (slider - 2, (3 * (slider - 2)) + 1)
  22. false
  23. false
  24. false
  25. false
  26. false
  27. false
  28. false
  29. false
  30. (slider - 2, (1.5 * (slider - 2)) + 0.5)
  31. ((-slider), (-((-slider) - 1)^(2)) + 1)
  32. ((-slider), (-slider) + 1)
  33. (slider - 1, (-(slider - 2)^(2)) + 1)
  34. (slider - 1, slider)
  35. ((-slider) + 1, (-((-slider))^(2)) + 1)
  36. ((-slider) + 1, (-slider) + 2)
  37. (slider, (-(slider - 1)^(2)) + 1)
  38. (slider, slider + 1)
  39. ((-slider) + 2, (-((-slider) + 1)^(2)) + 1)
  40. ((-slider) + 2, (-slider) + 3)
  41. (slider + 1, slider + 2)
  42. ((-slider) + 3, (-((-slider) + 2)^(2)) + 1)
  43. (slider + 1, (-slider^(2)) + 1)
  44. ((-slider) + 3, (-3 * ((-slider) + 3)) + 10)
  45. false