Limit Demonstration of root(x).sin(1/x)

Limit Demonstration of root(x).sin(1/x)
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2016-01-22 08:44
This example demonstrates the behavior of the limit of the function root(x).sin(1/x) as x approaches 0. The core mathematical concepts involved include limits, properties of trigonometric functions, and the behavior of radical functions. The construction uses GeoGebra commands such as CurveCartesian, with objects like t, text1, g, C, D, A, lh, lv, B, text2, text3 for parameterization and labeling. It is suitable for high school and above students learning about limits in calculus.

GeoGebra Commands & Parameters

  1. CurveCartesian(t, y(D), t, 0, x(D)) → lh
  2. CurveCartesian(x(D), (y(D) * t), t, 0, 1) → lv