Continuity Exploration at x=a

Continuity Exploration at x=a
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2018-01-12 03:59
This example demonstrates how to visualize the continuity of a function f at x=a using GeoGebra. It covers core math concepts like function continuity, limits, and derivatives. The construction uses GeoGebra objects: a (independent variable point), f (function graph), and g (auxiliary function). Suitable for high school mathematics education to help students understand the criteria and geometric meaning of function continuity.

GeoGebra Commands & Parameters

  1. Numeric a(0)
  2. f(x) = 1 / (x - a)
  3. x = a