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2413 1.2/1.3 Limits Exploration
Author:
Philip Taylor
Topic:
Calculus
,
Limits
Exploring Limits
Copy the graph of the piecewise-defined function f(x) in your notebook and respond to these prompts.
Write the formulas for the red and blue functions.
(Approximate) What is f(5)? f(10)? f(8)?
What does y get close to as x gets close to 8, coming from the left?
What about from the right?
Best guess: What is the limit of f(x) as x approaches 8?
Click "Next", make another quick sketch, and respond to these prompts with the new function, g(x).
Write the formulas for the red and blue functions.
(Approximate) What is g(2)? g(10)? g(8)?
What does y get close to as x gets close to 8, coming from the left?
What about from the right?
Best guess: What is the limit of g(x) as x approaches 8?
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