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Determine whether the following series converges. Justify your answer. 00 k Σ k = 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The limit of the terms is , so the series converges by the Divergence Test. O B. The terms of the series alternate in sign and their limit is so the series diverges by the Alternating Series Test. The Root Test yields p= lim Because p< 1, the series converges by the Root Test. k00 OD. The Root Test yields p= lim KIELT= Because p> 1, series diverges by the Root Test. k-00 O E. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test.

Determine whether the following series converges. Justify your answer. 00 k Σ k = 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The limit of the terms is , so the series converges by the Divergence Test. O B. The terms of the series alternate in sign and their limit is so the series diverges by the Alternating Series Test. The Root Test yields p= lim Because p< 1, the series converges by the Root Test. k00 OD. The Root Test yields p= lim KIELT= Because p> 1, series diverges by the Root Test. k-00 O E. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test.

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 following series converges. Justify your answer. k k = 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The limit of the terms is , so the series converges by the Divergence Test. O B. The terms of the series alternate in sign and their limit is so the series diverges by the Alternating Series Test. O C. The Root Test yields p= lim Because p< 1, the series converges by the Root Test. O D. The Root Test yields p= lim Because p> 1, series diverges by the Root Test. k-00 O E. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test. 2°C Cloudy
Transcribed Image Text:Determine whether the following series converges. Justify your answer. k k = 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The limit of the terms is , so the series converges by the Divergence Test. O B. The terms of the series alternate in sign and their limit is so the series diverges by the Alternating Series Test. O C. The Root Test yields p= lim Because p< 1, the series converges by the Root Test. O D. The Root Test yields p= lim Because p> 1, series diverges by the Root Test. k-00 O E. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test. 2°C Cloudy
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