Test the series for convergence or divergence using the Alternating Series Test. (-1)" 7n + 1 n = 1 Identify bn: Evaluate the following limit. lim b, in Since lim b, ? 0 0 and bn + 1 O b, for all n, ---Select--- ? n- 00 Test the series b, for convergence or divergence using an appropriate Comparison Test. The series diverges by the Limit Comparison Test with the harmonic series. 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. The series converges by the Limit Comparison Test with a convergent geometric series. Determine whether the given alternating series is absolutely convergent, conditionally convergent, or divergent. O absolutely convergent O conditionally convergent divergent

Test the series for convergence or divergence using the Alternating Series Test. (-1)" 7n + 1 n = 1 Identify bn: Evaluate the following limit. lim b, in Since lim b, ? 0 0 and bn + 1 O b, for all n, ---Select--- ? n- 00 Test the series b, for convergence or divergence using an appropriate Comparison Test. The series diverges by the Limit Comparison Test with the harmonic series. 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. The series converges by the Limit Comparison Test with a convergent geometric series. Determine whether the given alternating series is absolutely convergent, conditionally convergent, or divergent. O absolutely convergent O conditionally convergent divergent

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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Question

Test the series for convergence or divergence using the Alternating Series Test.
(-1)"
7n + 1
n = 1
Identify bn:
Evaluate the following limit.
lim b
n- 00
Since limb
? 0 0 and bn + 1
for all n,
?
---Select---
n> 00
Test the series b, for convergence or divergence using an appropriate Comparison Test.
The series diverges by the Limit Comparison Test with the harmonic series.
The series diverges by the Direct Comparison Test. Each term is greater than that of a divergent geometric series.
The series converges by the Direct Comparison Test. Each term is less than that of the convergent p-series.
The series converges by the Limit Comparison Test with a convergent geometric series.
Determine whether the given alternating series is absolutely convergent, conditionally convergent, or divergent.
absolutely convergent
conditionally convergent
O divergent

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