Limits
The topic that we will be examining in this chapter is that
of Limits. This is the first of three major topics that we will be covering in
this course. While we will be spending the least amount of time on limits in
comparison to the other two topics limits are very important in the study of
Calculus. We will be seeing limits in a variety of places once we move out of
this chapter. In particular we will see that limits are part of the formal
definition of the other two major topics.
Here is a quick listing of the material that will be
covered in this chapter.
Tangent Lines and Rates of Change - In this section we will take a look
at two problems that we will see time and again in this course. These problems
will be used to introduce the topic of limits.
The
Limit - Here we will take a conceptual look at limits and try to get a
grasp on just what they are and what they can tell us.
One-Sided Limits - A brief introduction to one-sided limits.
Limit Properties - Properties of limits that we�ll need to use in
computing limits. We will also compute some basic limits in this section
Computing Limits - Many of the limits we�ll be asked to compute will not
be �simple� limits. In other words, we won�t be able to just apply the
properties and be done. In this section we will look at several types of limits
that require some work before we can use the limit properties to compute them.
Infinite Limits - Here we will take a look at limits that have a value of infinity or negative infinity. We�ll also take a brief look at vertical asymptotes.
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