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Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Converges by alternating series test 1. n=1 2. Σ 3. n=1 ∞ n=1 ∞ +√n n4-2 (-1)" In(en) n5 cos(NT) 5(5)" 102n √n 4. (-1)". n+2 5. 6. n=1 ∞ n=1 n=1 (-1)" 5n+2 sin² (7n) n2 NOTE: the version of the alternating series test provided in section 11.5 of Stewart is not general enough to solve this problem. You will need the following version: If the series ✗(-1)^-16 m satisfies the conditions n=1 (i) there is an index N such that 0 < bn+1 ≤ bn for all n > N (ii) lim bn = 0 n→∞ then the series converges.

Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Converges by alternating series test 1. n=1 2. Σ 3. n=1 ∞ n=1 ∞ +√n n4-2 (-1)" In(en) n5 cos(NT) 5(5)" 102n √n 4. (-1)". n+2 5. 6. n=1 ∞ n=1 n=1 (-1)" 5n+2 sin² (7n) n2 NOTE: the version of the alternating series test provided in section 11.5 of Stewart is not general enough to solve this problem. You will need the following version: If the series ✗(-1)^-16 m satisfies the conditions n=1 (i) there is an index N such that 0 < bn+1 ≤ bn for all n > N (ii) lim bn = 0 n→∞ then the series converges.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Converges by alternating series test 1. n=1 2. Σ 3. n=1 ∞ n=1 ∞ +√n n4-2 (-1)" In(en) n5 cos(NT) 5(5)" 102n √n 4. (-1)". n+2 5. 6. n=1 ∞ n=1 n=1 (-1)" 5n+2 sin² (7n) n2 NOTE: the version of the alternating series test provided in section 11.5 of Stewart is not general enough to solve this problem. You will need the following version: If the series ✗(-1)^-16 m satisfies the conditions n=1 (i) there is an index N such that 0 < bn+1 ≤ bn for all n > N (ii) lim bn = 0 n→∞ then the series converges.
Transcribed Image Text:Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Converges by alternating series test 1. n=1 2. Σ 3. n=1 ∞ n=1 ∞ +√n n4-2 (-1)" In(en) n5 cos(NT) 5(5)" 102n √n 4. (-1)". n+2 5. 6. n=1 ∞ n=1 n=1 (-1)" 5n+2 sin² (7n) n2 NOTE: the version of the alternating series test provided in section 11.5 of Stewart is not general enough to solve this problem. You will need the following version: If the series ✗(-1)^-16 m satisfies the conditions n=1 (i) there is an index N such that 0 < bn+1 ≤ bn for all n > N (ii) lim bn = 0 n→∞ then the series converges.
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