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Test the series for convergence or divergence using the Alternating Series Test. 00 (-1)" 3n + 1 n = 1 Identify bn Evaluate the following limit. lim b in n- 00 Since lim b. = v 0 and b, n + 1 b, for all n, the series converges n- 00 Test the series b, for convergence or divergence using an appropriate Comparison Test. The series converges by the Limit Comparison Test with a convergent geometric series. O The series diverges by the Limit Comparison Test with the harmonic series. O The series diverges by the Direct Comparison Test. Each term is greater than that of a divergent geometric series. O The series converges by the Direct Comparison Test. Each term is less than that of the convergent p-series. Determine whether the given alternating series is absolutely convergent, conditionally convergent, or divergent. O absolutely convergent O conditionally convergent O divergent

Test the series for convergence or divergence using the Alternating Series Test. 00 (-1)" 3n + 1 n = 1 Identify bn Evaluate the following limit. lim b in n- 00 Since lim b. = v 0 and b, n + 1 b, for all n, the series converges n- 00 Test the series b, for convergence or divergence using an appropriate Comparison Test. The series converges by the Limit Comparison Test with a convergent geometric series. O The series diverges by the Limit Comparison Test with the harmonic series. O The series diverges by the Direct Comparison Test. Each term is greater than that of a divergent geometric series. O The series converges by the Direct Comparison Test. Each term is less than that of the convergent p-series. Determine whether the given alternating series is absolutely convergent, conditionally convergent, or divergent. O absolutely convergent O conditionally convergent O divergent

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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Test the series for convergence or divergence using the Alternating Series Test. 00 (-1)" 3n + 1 n = 1 Identify bn Evaluate the following limit. lim b, Since lim b 0 and b, n + 1 V b, for all n, the series converges Test the series b, for convergence or divergence using an appropriate Comparison Test. The series converges by the Limit Comparison Test with a convergent geometric series. The series diverges by the Limit Comparison Test with the harmonic series. O The series diverges by the Direct Comparison Test. Each term is greater than that of a divergent geometric series. O The series converges by the Direct Comparison Test. Each term is less than that of the convergent p-series. Determine whether the given alternating series is absolutely convergent, conditionally convergent, or divergent. absolutely convergent conditionally convergent divergent
Transcribed Image Text:Test the series for convergence or divergence using the Alternating Series Test. 00 (-1)" 3n + 1 n = 1 Identify bn Evaluate the following limit. lim b, Since lim b 0 and b, n + 1 V b, for all n, the series converges Test the series b, for convergence or divergence using an appropriate Comparison Test. The series converges by the Limit Comparison Test with a convergent geometric series. The series diverges by the Limit Comparison Test with the harmonic series. O The series diverges by the Direct Comparison Test. Each term is greater than that of a divergent geometric series. O The series converges by the Direct Comparison Test. Each term is less than that of the convergent p-series. Determine whether the given alternating series is absolutely convergent, conditionally convergent, or divergent. absolutely convergent conditionally convergent divergent
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