Chapter 9: Sequences, L'Hopital's Rule, and Improper Integrals
9.1 Sequences
Mastery Objectives
Students will be able to define sequences explicitly or recursively
Students will be able to define explicit and recursive rules for arithmetic and geometric sequences
Students will be able to graph sequences using parametric or graphical mode
Students will be able to use properties of limits to find the limit of a sequences
Students will be able to determine whether a sequence converges or diverges and find its limit using the Sandwich Theorem for Sequences or the Absolute Value Theorem.
Notes
![](https://www.google.com/images/icons/product/drive-32.png)
Book Problems
#s 3 ,7 ,9 ,13, 14, 16, 17, 20, 21, 29, 32, 33, 35, 42, 44, 55
9.2 L'Hopital's Rule
Mastery Objectives
Students will be able to find limits of indeterminate forms using L'Hopital's Rule.
Notes
![](https://www.google.com/images/icons/product/drive-32.png)
Book Problems
#s 2, 4, 6, 10, 11, 14, 15, 18, 21, 26, 35, 38, 51, 55, 58
9.3 Relative Rates of Growth
Mastery Objectives
Students will be able to use L'Hopital's Rule to compare rates of growth of functions.
Notes
![](https://www.google.com/images/icons/product/drive-32.png)
Book Problems
#s 3, 4, 8, 9, 11, 13, 20, 24, 26, 29, 33, 35, 38, 40a
9.4 Improper Integrals
Mastery Objectives
Students will be able to use limits to evaluate improper integrals
Students will be able to use the direct comparison test and the limit comparison test to determine the convergence or divergence of improper integrals.
Notes
![](https://www.google.com/images/icons/product/drive-32.png)
Book Problems
4, 6, 10, 18, 20, 22, 23, 25, 32, 33, 35 QQAP #4
Review
Review Practice
![](https://www.google.com/images/icons/product/drive-32.png)
Answer Key
![](https://www.google.com/images/icons/product/drive-32.png)
Chapter Summary
![](https://www.google.com/images/icons/product/drive-32.png)