StudyGuide4 - 5. Know how to estimate the sum oF a series...

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Study Guide for Test 4 MATH 2414 (Graves) Test 4 covers Chapter 11 (all sections). 1. Know how to determine whether a sequence converges or diverges. Be able to fnd the limit oF a convergent sequence. Chapter 11 Review Exercises, p. 759: 1–8 2. Be able to determine whether a given series converges or diverges using any oF the convergence tests we have developed (Test For Divergence, Integral Test, Direct and Limit Comparison Tests, Alternating Series Test, Ratio and Root Tests). Chapter 11 Review Exercises, p. 759: 11–22 3. Be able to determine whether a series is absolutely convergent, conditionally convergent, or divergent. Chapter 11 Review Exercises, p. 759: 23–26 4. Know how to fnd the exact sum oF a series by recognizing its Form (geometric, telescoping, or power series). Chapter 11 Review Exercises, p. 759–760: 27, 28, 30, 31
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Unformatted text preview: 5. Know how to estimate the sum oF a series to a given accuracy. Chapter 11 Review Exercises, p. 760: 35, 36, 37 6. Know how to fnd the radius oF convergence and interval oF convergence oF a power series. Chapter 11 Review Exercises, p. 760: 4043 7. Know how to fnd Taylor and Maclaurin series and fnd their radii oF convergence. Chapter 11 Review Exercises, p. 760: 4754 8. Be able to use infnite series to approximate integrals to a desired accuracy. Chapter 11 Review Exercises, p. 760: 55, 56 9. Be able to use Taylor or Maclaurin polynomials to approximate a Function to a given accuracy over a given interval. Chapter 11 Review Exercises, p. 760: 57, 58 10. Know how to use infnite series to evaluate limits. Chapter 11 Review Exercises, p. 760: 59...
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