4n Find the limit of the sequence an = 4n and then determine if the Divergence Test applies to the series 2n2+1 2n2 +1 n=1 (a) lim a, 4n (b) Does the Divergence Test apply to the series ? No, so we cannot use the Divergence Test to determine if this series converges or diverges. v 2n2 +1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Show how to find limit and please explain why we cannot use divergent test on this series.

Entered
Answer Preview
Result
Correct
Сorrect
No, so we
cannot use
the
Divergence
Test to
determine No, so we cannot use the Divergence Test to determine if this series converges or diverges. correct No, so we cannot use the Divergence Test to det
if this
series
converges
or
diverges.
All of the answers above are correct.
Find the limit of the sequence an =
4n
and then determine if the Divergence Test applies to the series
4n
2n2+1
2n2 + 1
n=1
(a) lim an
4n
? No, so we cannot use the Divergence Test to determine if this series converges or diverges.
(b) Does the Divergence Test apply to the series
2n2 +1
N=1
Transcribed Image Text:Entered Answer Preview Result Correct Сorrect No, so we cannot use the Divergence Test to determine No, so we cannot use the Divergence Test to determine if this series converges or diverges. correct No, so we cannot use the Divergence Test to det if this series converges or diverges. All of the answers above are correct. Find the limit of the sequence an = 4n and then determine if the Divergence Test applies to the series 4n 2n2+1 2n2 + 1 n=1 (a) lim an 4n ? No, so we cannot use the Divergence Test to determine if this series converges or diverges. (b) Does the Divergence Test apply to the series 2n2 +1 N=1
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