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Epsilon-Delta Limit Definition

Epsilon-Delta Limit Definition
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2016-04-29 06:17
FunctionCalculusLimitGeometric Construction
This example demonstrates the epsilon-delta definition of a limit geometrically, allowing users to adjust delta values dynamically to see if f(x) stays within the epsilon range. Key math concepts include limits, function continuity, and calculus. It uses commands like Segment, RandomElement, Textfield, Vector, Invert, Distance to create interactive visualizations, suitable for high school and above learning calculus basics.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a_1
  2. RandomElement({0.5, 0.8, 1, 0.3}) → c
  3. Segment(C, B) → b
  4. Textfield(d) → InputBox2
  5. Segment(F, H) → e
  6. Segment(G, I) → g
  7. Vector(H, J) → u
  8. Vector(I, K) → v
  9. Invert(f) → h
  10. Segment(E, L) → i
  11. Segment(L, M) → j
  12. Segment(D, N) → k
  13. Segment(N, O) → l
  14. Vector(C, G) → w
  15. Vector(C, F) → m
  16. Vector(A, D) → p
  17. Vector(A, E) → n_1
  18. Textfield(f) → InputBox3
  19. Distance(A, K) → n