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For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). Enter D if the series diverges by this test, C if the series converges by this test, and N if you cannot apply this test (even if you know how the series behaves by some other test). (−1)" (n³ + 1) n4+1 (-1)^(n² + 2n) n³ − 1 2. n=2 (−1)n 3. 5 n³ n=1 10

For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). Enter D if the series diverges by this test, C if the series converges by this test, and N if you cannot apply this test (even if you know how the series behaves by some other test). (−1)" (n³ + 1) n4+1 (-1)^(n² + 2n) n³ − 1 2. n=2 (−1)n 3. 5 n³ n=1 10

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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For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). Enter D if the series diverges by this test, C if the series converges by this test, and N if you cannot apply this test (even if you know how the series behaves by some other test). 2. ∞ n=1 (−1)" (n³ + 1) n4 +1 (-1)(n+2n) n³ – 1 n=2 3. (−1)n n5 n=1 4. 5. 6. n=1 n=. n=1 (-1) (n10 + 1) en (-1)n cos(n) n² 3 (-1)" (n³+1) n³ +7
Transcribed Image Text:For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). Enter D if the series diverges by this test, C if the series converges by this test, and N if you cannot apply this test (even if you know how the series behaves by some other test). 2. ∞ n=1 (−1)" (n³ + 1) n4 +1 (-1)(n+2n) n³ – 1 n=2 3. (−1)n n5 n=1 4. 5. 6. n=1 n=. n=1 (-1) (n10 + 1) en (-1)n cos(n) n² 3 (-1)" (n³+1) n³ +7
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