116w08review2 - Review for Exam 2 The second exam covers sections 11.6-11.12 In particular you should know these topics • The Ratio Test – Good

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Unformatted text preview: Review for Exam 2 The second exam covers sections 11.6-11.12. In particular, you should know these topics: • The Ratio Test – Good for series containing n ! ,n n or a constant to the n th power. – Find lim | a n +1 a n | = L . – If L < 1, the sum converges absolutely, if L > 1, the sum diverges. If L = 1, the test is inconclusive, and you need to try a different test. • Absolute vs. conditional convergence – If ∑ | a n | converges, then ∑ a n converges absolutely. – If ∑ | a n | diverges, then ∑ a n might diverge or might converge conditionally. Usually you will need to look at the Alternating Series Test to decide. • Estimating for alternating series. – Understand the difference between s , s n , and b n . – For an alternating series ∑ (- 1) n b n , the exact sum s is approximately equal to s n , with error less than b n +1 . In fact, s is between s n and s n +1 ....
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This note was uploaded on 03/11/2008 for the course MATH 116 taught by Professor Chale during the Winter '08 term at Cal Poly Pomona.

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116w08review2 - Review for Exam 2 The second exam covers sections 11.6-11.12 In particular you should know these topics • The Ratio Test – Good

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