Show how to find limit and please explain why we cannot use divergent test on this series. EnteredAnswer PreviewResultCorrectСorrectNo, so wecannot usetheDivergenceTest todetermine 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 detif thisseriesconvergesordiverges.All of the answers above are correct.Find the limit of the sequence an =4nand then determine if the Divergence Test applies to the series4n2n2+12n2 + 1n=1(a) lim an4n? No, so we cannot use the Divergence Test to determine if this series converges or diverges.(b) Does the Divergence Test apply to the series2n2 +1N=1

By using statement of divergence test for series we solve the given problem.

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

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

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.4: Series And Their Notations

Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+

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Question

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

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