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Understand Infinite Limits and Limits at Infinity

Understand Infinite Limits and Limits at Infinity
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2019-03-25 16:24
FunctionCalculusLimitGraphing
This example demonstrates infinite limits and limits at infinity, showcasing how functions behave as inputs approach infinity or specific values. It involves core calculus concepts like limit definitions and function behavior analysis. Constructed using GeoGebra commands such as Point, Polygon, and Vector. Ideal for high school students and beginners in calculus.

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