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Use a convergence test of your choice to determine whether the following series converges. 80 Σ k=1 2k 7k+ 13 k Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. The Root Test yields p= so the series converges by the Root Test. This is less than 1, so the series converges by the Ratio Test. OB. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. OC. The Ratio Test yields r= OD. The terms of the series are alternating and their limit is OE. The Ratio Test yields r= 1 so the series diverges by the Alternating Series Test. This is greater than 1, so the series diverges by the Ratio Test. OF. The Root Test yields p= so the series diverges by the Root Test.

Use a convergence test of your choice to determine whether the following series converges. 80 Σ k=1 2k 7k+ 13 k Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. The Root Test yields p= so the series converges by the Root Test. This is less than 1, so the series converges by the Ratio Test. OB. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. OC. The Ratio Test yields r= OD. The terms of the series are alternating and their limit is OE. The Ratio Test yields r= 1 so the series diverges by the Alternating Series Test. This is greater than 1, so the series diverges by the Ratio Test. OF. The Root Test yields p= so the series diverges by the Root 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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Use a convergence test of your choice to determine whether the following series converges. 80 k=1 2k 7k+ 13 k Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. The Root Test yields p= so the series converges by the Root Test. OB. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. This is less than 1, so the series converges by the Ratio Test. OC. The Ratio Test yields r= OD. The terms of the series are alternating and their limit is so the series diverges by the Alternating Series Test. 1 OE. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test. OF. The Root Test yields p= so the series diverges by the Root Test.
Transcribed Image Text:Use a convergence test of your choice to determine whether the following series converges. 80 k=1 2k 7k+ 13 k Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. The Root Test yields p= so the series converges by the Root Test. OB. The terms of the series are alternating and their limit is so the series converges by the Alternating Series Test. This is less than 1, so the series converges by the Ratio Test. OC. The Ratio Test yields r= OD. The terms of the series are alternating and their limit is so the series diverges by the Alternating Series Test. 1 OE. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test. OF. The Root Test yields p= so the series diverges by the Root Test.
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