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Squeezing Theorem Example

Squeezing Theorem Example
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2018-07-15 18:21
FunctionCalculusLimit
In collections XI Standards Limits
This example illustrates the Squeezing Theorem, which states that if two functions have the same limit at a point, the third function squeezed between them will also have the same limit at that point. Using GeoGebra commands such as Limit, Integral, and Intersect, the theorem is visually demonstrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Limit(f, 0) → a
  2. Limit(g, 0) → b
  3. Integral(g, -10, 10) → c
  4. Integral(h, -10, 10) → d
  5. Intersect(c, g, 1) → A
  6. Intersect(c, g, 1) → B
  7. Intersect(c, g, 1) → C
  8. Intersect(d, h, 1) → D
  9. Intersect(d, f, (-666.6669166665447, -666.6666666666666)) → E
  10. Intersect(d, f, (-666.6669166665447, -666.6666666666666)) → F
  11. Intersect(d, f, (-666.6669166665447, -666.6666666666666)) → G
  12. Intersect(d, f, (-666.6669166665447, -666.6666666666666)) → H
  13. Intersect(d, f, (-666.6669166665447, -666.6666666666666)) → I
  14. Point(f) → J
  15. Point(h) → K
  16. Intersect(c, g, 1) → L
  17. Point(g) → M