COs nt Does the series > converge absolutely, converge conditionally, or diverge? nn n 1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally per the Alternating Series Test and because the corresponding series of absolute values is a geometric series with r= B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. C. The series converges absolutely because its corresponding series of absolute values is a p-series with p D. The series diverges because the limit used in the nth-Term Test is different from zero. O E. The series converges absolutely because the limit useed in the Root Test is 0

Question

Does the series

∑(cos(πn))/n(squareroot(n))

n=1

converge​ absolutely, converge​ conditionally, or​ diverge?

COs nt
Does the series >
converge absolutely, converge conditionally, or diverge?
nn
n 1
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
A. The series converges conditionally per the Alternating Series Test and because the corresponding series of absolute values is a geometric series with r=
B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1.
C. The series converges absolutely because its corresponding series of absolute values is a p-series with p
D. The series diverges because the limit used in the nth-Term Test is different from zero.
O E. The series converges absolutely because the limit useed in the Root Test is 0
Expand
Transcribed Image Text

COs nt Does the series > converge absolutely, converge conditionally, or diverge? nn n 1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally per the Alternating Series Test and because the corresponding series of absolute values is a geometric series with r= B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. C. The series converges absolutely because its corresponding series of absolute values is a p-series with p D. The series diverges because the limit used in the nth-Term Test is different from zero. O E. The series converges absolutely because the limit useed in the Root Test is 0

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