5 Matching Annotations
 Aug 2019

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

if the argument goes to infinity then the log also goes to infinity in the limit.
doing this section of the practice problems proved to be a fun challenge.


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

We won’t need these facts much over the next couple of sections but they will be required on occasion
Nonetheless, they should be thought as an important method of mathematics.


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?
