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Infinite and Infinity Limits Demo by David Beydler

Infinite and Infinity Limits Demo by David Beydler
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2015-02-10 03:18
FunctionCalculusLimit
This example demonstrates infinite limits and limits at infinity. It involves core math concepts like infinite limits, infinity limits, and function graph behavior. Constructed using GeoGebra commands/objects such as Point, Polygon, Vector. Suitable for high school and above students learning calculus limits.

GeoGebra Commands & Parameters

  1. Point(xAxis) → H
  2. Polygon(K, L, M, N) → poly1, k, l, m, n
  3. Vector(H, (x(H), f(x(H)))) → a
  4. Vector((x(H), f(x(H))), (0, f(x(H)))) → b
  5. Vector(((-2), f((-2))), ((-2.5), f((-2.5)))) → u
  6. Vector((7, f(7)), (7.5, f(7.5))) → v

AI Drawing Prompt Reference

Draw a function graph to demonstrate infinite limits and limits at infinity. Include a point, a polygon, and vectors representing function values, graph shape, and directions from different points. Construct in order: start with the point, then draw the polygon, connect points with vectors, and add other vectors to show function behavior at various points.
The prompt above was compiled from the original drawing commands and is for reference only.