Lesson 4: 11.4 The Comparison Tests
Duration of Days: 3
Lesson Objective
Students will be able to determine whether a series converges or diverges by using either the Comparison Test or the Limit Comparison Test.
- What series have we seen in previous sections that we can compare some new series to?
- What can we do when a direct comparison will not work?
- Comparison Test
- Limit Comparison Test
(determining whether a series converges or diverges by using a comparison to other series)
- To determine whether a series converges or diverges by using a comparison to other series.
- DOK Levels 1-4
- calculating total future value of annuities and investments
- calculating materials needed for construction
- radioactive decay and population growth
Students may confuse when to use the Comparison Test versus the Limit Comparison Test.
Homogeneous grouping and whole class discussion
section assessment
problems assigned from book