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Infinite Limits by CMaupinBHS

Infinite Limits by CMaupinBHS
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2018-07-28 18:57
FunctionCoordinate GeometryCalculusLimit
This example demonstrates the behavior of a function as it approaches a certain value at infinity. Key math concepts include limits, straight lines, rhombuses, sequences and series, and set theory. GeoGebra commands used are Intersect, OrthogonalLine, Polygon, Segment, and Ray, with objects like f, m, M, a, b, C, F, g, g_2, A, B, c, d, U_1, U_2, poly1, a_1, u_1, u_2, b_1, C_1, C_2, d_1, d_2, d_3, d_4, e, h, i, text1, text2, n, text3, text4, j. Suitable for high school and above students learning calculus limits or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Intersect(b, xAxis) → C
  2. Intersect(a, b) → F
  3. Intersect(g, a, (1.5120499635257352, 4.20000000000003)) → A
  4. Intersect(g_2, a, (2.4879500364742646, 4.200000000000034)) → B
  5. OrthogonalLine(A, xAxis) → c
  6. OrthogonalLine(B, xAxis) → d
  7. Polygon(A, U_1, U_2, B) → poly1, a_1, u_1, u_2, b_1
  8. Intersect(c, xAxis) → C_1
  9. Intersect(d, xAxis) → C_2
  10. Segment(C, C_1) → d_1
  11. Segment(C, C_2) → d_2
  12. Segment(F, A) → d_3
  13. Segment(F, B) → d_4
  14. Segment(A, C_1) → e
  15. Segment(B, C_2) → h
  16. Ray(M, B) → i
  17. Segment(A, B) → j