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Trig Limits - Squeeze Theorem Demo

Trig Limits - Squeeze Theorem Demo
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2017-02-14 02:16
FunctionTrigonometryCalculusLimitGeometric Construction
In collections Calculus 1 Graphical Illustrations
This example demonstrates how to solve trigonometric limits using the Squeeze Theorem. Key math concepts include limits, Squeeze Theorem, and trigonometric functions. It is constructed using GeoGebra objects: f, g, h, A, B, pic1. Suitable for university calculus courses to understand and apply the Squeeze Theorem to trigonometric limits.

GeoGebra Commands & Parameters

  1. f(x) = cos(x)
  2. g(x) = sin(x) / x
  3. y = 1
  4. Point A(0.7053830203781077, 1.2854315901734326)
  5. Point B(2.1088108041904583, 1.29259193600921)

AI Drawing Prompt Reference

Draw a graph including three functions: cosine, sine over x, and a horizontal line y=1. Mark two points near the line y=1, one above the cosine curve and the other closer to the line on the sine over x curve, to demonstrate the squeeze phenomenon as these functions approach the origin, illustrating the limit of sine over x.
The prompt above was compiled from the original drawing commands and is for reference only.