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Right and Left Hand Limits

Right and Left Hand Limits
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2016-12-12 10:22
FunctionCalculusLimit
This example illustrates the concept of right and left hand limits. By constructing the limits of a function f(x) at a specific point, it helps to understand the definition of limits. It uses commands like Point and Segment in GeoGebra. Suitable for high school mathematics, particularly in calculus.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Point(g) → B
  3. Point(g) → C
  4. Point(f) → D
  5. Point(r) → F
  6. Point(h) → G
  7. Point(xAxis) → I
  8. Segment(J, I) → a
  9. Segment(J, K) → b
  10. Segment(L, I) → c
  11. Segment(L, M) → d
  12. Segment(I, H) → e
  13. Segment(H, N) → i
  14. Segment(P, O) → j
  15. Segment(O, I) → k

AI Drawing Prompt Reference

Draw a coordinate system illustrating the concept of left and right hand limits. Place several points on two different function curves, and one point on the x-axis. From these points, draw vertical and horizontal segments connecting to the axes or to other points, showing how function values approach a target from both sides as the input nears a specific value. Include two distinct curves and multiple line segments that visually demonstrate the limiting behavior.
The prompt above was compiled from the original drawing commands and is for reference only.