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Piece-wise Limit Demonstration

Piece-wise Limit Demonstration
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2018-07-15 18:19
FunctionTrigonometryCoordinate GeometryLimitGeometric Construction
In collections XI Standards Limits
This example demonstrates the calculation and geometric representation of limits for piece-wise functions. It involves core mathematical concepts such as limits, trigonometric functions, 2D vectors, and coordinate geometry. Key GeoGebra commands used in construction include Intersect, OrthogonalLine, and Segment. Suitable for high school and above students to learn and understand the properties of function limits, as well as for calculus teaching demonstrations.

GeoGebra Commands & Parameters

  1. Intersect(p, j, (1.5247000000000002, 3.5247)) → O
  2. Intersect(h_1, k) → N
  3. Intersect(h_1, j) → E
  4. Intersect(j, xAxis) → F
  5. Intersect(p, k, (1, 3)) → G
  6. Intersect(k, xAxis) → H
  7. Intersect(i, xAxis) → I
  8. OrthogonalLine(E, i) → l
  9. OrthogonalLine(G, i) → m
  10. Intersect(m, i) → J
  11. Intersect(l, i) → K
  12. Segment(J, G) → n
  13. Segment(E, K) → q