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

9.1 Notes.pdf

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

9.2 Notes.pdf

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

9.3 Notes.pdf

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

9.4 Notes.pdf

Book Problems

4, 6, 10, 18, 20, 22, 23, 25, 32, 33, 35 QQAP #4

Review

Review Practice

Chapter 9 Review.pdf

Answer Key

Chapter 9 Review Answers (1).pdf

Chapter Summary

Chapter 9 Summary.pdf