3 Matching Annotations
 Aug 2019

tutorial.math.lamar.edu tutorial.math.lamar.edu

Last, we were after something that was happening at x=1x=1x = 1 and we couldn’t actually plug x=1x=1x = 1 into our formula for the slope. Despite this limitation we were able to determine some information about what was happening at x=1x=1x = 1 simply by looking at what was happening around x=1x=1x = 1. This is more important than you might at first realize and we will be discussing this point in detail in later sections.
This reminds me of the exercise we had this morning in class.

Likewise, at the second point shown, the line does just touch the graph at that point, but it is not “parallel” to the graph at that point and so it’s not a tangent line to the graph at that point.
A visual representation of a Tangent Line is very useful, I honestly wasn’t visualizing what a Tangent Line was, in my head.


tutorial.math.lamar.edu tutorial.math.lamar.edu

We will be seeing limits in a variety of places once we move out of this chapter.
Will the L’Hospital method be explained in this chapter?
