Sequences and Series
In this module, we will cover the important concepts needed for success on questions on the AP Calculus BC exam involving sequences and series. These concepts include the convergence/divergence of series and Taylor series.
Terms for Sequences
Here I define terms involving sequences that appear frequently on the AP Calculus BC exam.
This is the first of a series of tests for convergence. Here we use improper integrals to determine whether certain series are convergent.
Comparison and Limit Comparison Tests
Here I cover two more tests for convergence: the comparison and limit comparison tests.
Alternating Series Test
Here I cover a test that can be used to determine whether certain alternating series are convergent.
In this video, I cover two more terms that are important for series: absolutely convergent and conditionally convergent.
The previous few videos in this playlist have covered tests for convergence. Here I go through several practice problems to reinforce how to...
Significance of Power Series
The significance of power series is that some functions can be represented as power series. Here I explain this concept.