After completing this section, students should be able to do the following.
- Understand why bounds for remainders are necessary.
- Approximate the value of a series that converges by the alternating series test.
- Approximate the value of a series that converges by the integral test.
- Estimate the value of a convergent series by a term in the sequence of partial sums.
- Understand when a better approximation can be produced by using the sequence of partial sums and error bounds.