Exam2StudyGuideS10

Exam2StudyGuideS10 - 2. The successful student will know...

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Exam 2 structure and study guide 5 multiple choice questions, each worth 5 points 5 multiple choice questions, each worth 4 points 4 multiple choice questions, each worth 3 points 10 short-answer questions 1 partial credit question worth 8 points The short-answer questions may be limits (Find the limit) sequences ("If the sequence converges, find its limit. If the sequence diverges, circle the word "diverges" and explain why. series ("Determine whether the series is convergent or divergent. Circle the correct answer, and name a test used to determine your answer) Any ACD-type series questions (Determine whether a series is absolutely convergent, conditionally convergent, or divergent.) will be answered on your scantron. Absolutely convergent => bubble a Conditionally convergent => bubble c Divergent => bubble d 1. The successful student will know all indeterminate forms (7.8) and, after careful checking of form, will be able to apply L'Hospital's rule to find limits.
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Unformatted text preview: 2. The successful student will know all types of improper integrals (8.8), and will be able to integrate and take limits to determine if an improper integral converges or diverges. Proper notation is essential! 3. The successful student will be able to identify and compare different types of sequences. 4. The successful student will be able to determine if a sequence diverges or converges (and if so, to what). 5. The successful student will recognize famous series in standard and non-standard form. 6. The successful student will be able to determine on inspection the appropriate test to use to determine if a series converges or diverges. 7. The successful student will be able to apply the appropriate test to determine if a series converges or diverges. 8. The successful student will develop the ability to look (carefully) at many (but not all) series and know if they diverge or converge, and will be able to prove the result if asked....
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