The Direct Comparison Test Suppose that we have decided to investigate the convergence or divergence of the series using the Direct Comparison Test. Select all of the statements below that are true. OA. The given series diverges since for n >1 and is a divergent p-series (p = ). n=1 B. The given series converges since < for n 21 and E is a convergent p-series (p = 2). n=1 OC. The given series diverges since < for n >1 and E is the divergent Harmonic series. OD. The given series diverges since for n >1 and diverges by the integral test. =1 2n Note: there may be more than one correct answer. Select all that apply.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The Direct Comparison Test
Suppose that we have decided to investigate the convergence or divergence of the series
using the Direct Comparison Test.
Select all of the statements below that are true.
OA. The given series diverges since
for n >1 and
is a divergent p-series (p = ).
n=1
B. The given series converges since
< for n 21 and E is a convergent p-series (p = 2).
n=1
OC. The given series diverges since <
for n >1 and E is the divergent Harmonic series.
OD. The given series diverges since
for n >1 and diverges by the integral test.
=1 2n
Note: there may be more than one correct answer. Select all that apply.
Transcribed Image Text:The Direct Comparison Test Suppose that we have decided to investigate the convergence or divergence of the series using the Direct Comparison Test. Select all of the statements below that are true. OA. The given series diverges since for n >1 and is a divergent p-series (p = ). n=1 B. The given series converges since < for n 21 and E is a convergent p-series (p = 2). n=1 OC. The given series diverges since < for n >1 and E is the divergent Harmonic series. OD. The given series diverges since for n >1 and diverges by the integral test. =1 2n Note: there may be more than one correct answer. Select all that apply.
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