Question: 1. Sequence & Series (10 pts) Given (1) Determine whether the sequence {} converges or diverges. lim exists => converge lim does not exist =>
1. Sequence & Series (10 pts) Given (1) Determine whether the sequence {} converges or diverges. lim exists => converge lim does not exist => diverge Note: lim = 0 if 1 < < 1 Suggested practice problem: Textbook Sec 11.1 Exercises #27, 29, 32, 33 (2) Determine whether a geometric series =1 converges or diverges. If converges, find the sum. Suggested practice problem: Textbook Sec 11.2 Exercises #27, 31, 39 2. (5 pts) True or False problem. Given 5 statements, select true or false. 3. (5 pts) Determine whether the series is convergent or divergent. Show your reasoning. Tests to use: Geometric Series P-series Test for Divergence Comparison and Limit Comparison Test Integral Test Suggested practice problem: Textbook Sec 11.3 Exercises #11, 17, 21, 23 Textbook Sec 11.4 Exercises #7, 23, 24 4. (10 pts) Determine if the given alternating series is absolutely convergent, conditionally convergent, or divergent? Show your reasoning. Tests to use: Geometric Series
P-series Test for Divergence Comparison and Limit Comparison Test Integral Test Alternating Series Test Suggested practice problem: Textbook Sec 11.5 Exercises #24, 25, 27, 30
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