sec11_7

# sec11_7 - n + 1) n n 2 n Example 2.2. (problem 4) Test the...

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11.7 Strategy for Testing Series 1. Strategy (1) If 1 /n p , p-series test. (2) If ar n - 1 , then it is a geometric series. (3) If the series is similar to a p-series or a geometric series, one of the comparison test. (4) Test for divergence if lim n →∞ a n ± =0 . (5) If ( - 1) n b n then Alternating series test. (6) If there are factorials or other products involved, Ratio test. (7) If ( b n ) n , then Root test. (8) Integral test. 2. Examples Example 2.1. (problem 2) Test the series for convergence or divergence. ± n =1 (2

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Unformatted text preview: n + 1) n n 2 n Example 2.2. (problem 4) Test the series for convergence or divergence. ∞ ± n =1 (-1) n n n 2 + 2 1 Section 11.7 Strategy for Testing Series 2 Example 2.3. (problem 20) Test the series for convergence or divergence. ∞ ± k =1 k + 5 5 k Example 2.4. (problem 12) Test the series for convergence or divergence. ∞ ± n =1 sin n Example 2.5. (problem 35) Test the series for convergence or divergence. ∞ ± n =1 ² n n + 1 ³ n 2...
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## This note was uploaded on 03/14/2011 for the course MAC 2312 taught by Professor Zhang during the Fall '07 term at FSU.

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sec11_7 - n + 1) n n 2 n Example 2.2. (problem 4) Test the...

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