# 116w08review2 - Review for Exam 2 The second exam covers...

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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 . Power Series–series of the form n =0 c n ( x - a ) n Use the Ratio Test to find the radius of convergence.

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• Spring '08
• chale
• Taylor Series, Mathematical Series, Alternating Series Estimation, Taylor Estimation Theorem

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