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Limits Example 4: Two Sides to a Limit

Limits Example 4: Two Sides to a Limit
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2014-01-09 01:59
FunctionCalculusLimitProbability & StatisticsGraphing
In collections BC Calculus
This example demonstrates the graphical phenomenon that a function's limit must be approached from both sides to exist. It involves core math concepts like function limits, step functions, pie charts, and histograms. Constructed using GeoGebra commands/objects such as Point, Segment, a, b, f, C, D, c, E, d, text1, text2, t, F, e, F_1. Suitable for high school and above students studying calculus and probability & statistics.

GeoGebra Commands & Parameters

  1. Point(f) → C
  2. Segment(C, D) → c
  3. Segment(E, C) → d

AI Drawing Prompt Reference

Draw a graphical example of a function limit, showing that the limit must be approached from both sides to exist. Include a function graph, a horizontal segment starting from a point on the graph, and a line segment extending from that point to the left, forming a closed area to illustrate the concept of a limit.
The prompt above was compiled from the original drawing commands and is for reference only.