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Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Σ(-1)n-187 n = 1 O absolutely convergent O conditionally convergent Odivergent

Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Σ(-1)n-187 n = 1 O absolutely convergent O conditionally convergent Odivergent

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)² note: 7-187 n n=1 O absolutely convergent O conditionally convergent O divergent For any tests you use: 1. Prove that the conditions of the test are met. 2. Prove that the hypotheses of the test are satisfied. 3. Clearly state your conclusion after executing the test. When using comparison tests: Clearly indicate which series you are comparing to. Clearly indicate whether the series you are comparing to is convergent or divergent, and some proof or indication of how you know this. When using inequalities to compare terms: Show each step leading up to your final inequality. When evaluating any limits: Show each step you took to evaluate the limit. Show transcribed data ΣΤ Expert Answer ✰
Transcribed Image Text:Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)² note: 7-187 n n=1 O absolutely convergent O conditionally convergent O divergent For any tests you use: 1. Prove that the conditions of the test are met. 2. Prove that the hypotheses of the test are satisfied. 3. Clearly state your conclusion after executing the test. When using comparison tests: Clearly indicate which series you are comparing to. Clearly indicate whether the series you are comparing to is convergent or divergent, and some proof or indication of how you know this. When using inequalities to compare terms: Show each step leading up to your final inequality. When evaluating any limits: Show each step you took to evaluate the limit. Show transcribed data ΣΤ Expert Answer ✰
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