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Section 1.1 Introduction to Limits
Module Learning Objectives.
Decide where a rational function exists
Graph a piece-wise defined function
Given a graph, estimate the limit of a function as the variable approachs a point (possibly only from the left or right)
Given a table of values, estimate the limit of a function as the variable approachs a point (possibly only from the left or right)
Video 1.1.1. Tale of Three Functions Part I.
We look at three different functions that seem pretty similar, but are in fact slightly different.
Post-video reflection.
What was the difference between the three functions of the video? In what ways are they similar? In what ways are they different?
Video 1.1.2. Tale of Three Functions Part II.
We numerically and graphically investigate what happens as we approach the interesting point. Through this, we define the notion of a limit.
This video introduces the basic idea of Limits
Post-video reflection.
What is the big idea of a limit in your own words?
