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One-Sided Limits Demo

One-Sided Limits Demo
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2019-10-24 22:28
VectorFunctionCalculusLimitGeometric Construction
This example demonstrates the concept of one-sided limits by dynamically showing the limit values of a function at a specific point from either the left or right side. It involves core mathematical concepts like limits, functions, rays, and vectors. The construction uses GeoGebra commands such as Point, Function, Segment, Intersect, Ray, and Vector. It is suitable for high school and above students learning calculus and limits.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Function((x - 1)^(2) / 2 + n, 1, 3.5) → g
  3. Point(g) → B
  4. Point(yAxis) → C
  5. Segment(C, D) → a
  6. Segment(B, A) → b
  7. Segment(D, A) → c
  8. Segment(E, B) → d
  9. Intersect(xAxis, yAxis) → F
  10. Ray(A, F) → e
  11. Point(xAxis) → G
  12. Ray(A, G) → h
  13. Segment(H, J) → i
  14. Segment(I, K) → j
  15. Vector(J, L) → u
  16. Vector(K, M) → v